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Finding the Fourth Proportional to 777.35, 1,166.02 and 200.23

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Solution

The fourth proportional to 777.35, 1,166.02 and 200.23 is: 300.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.35 : 1,166.02 = 200.23 : x
  2. Step 2: Convert to fraction form
    777.35/1,166.02 = 200.23/x
  3. Step 3: Cross multiply
    777.35x = 1,166.02 × 200.23
  4. Step 4: Simplify right side
    777.35x = 233,468.77
  5. Step 5: Solve for x
    x = 233,468.77/777.35
  6. Step 6: Final answer
    x = 300.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.