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Finding the Fourth Proportional to 777.40, 1,166.14 and 200.32

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Solution

The fourth proportional to 777.40, 1,166.14 and 200.32 is: 300.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.40 : 1,166.14 = 200.32 : x
  2. Step 2: Convert to fraction form
    777.40/1,166.14 = 200.32/x
  3. Step 3: Cross multiply
    777.40x = 1,166.14 × 200.32
  4. Step 4: Simplify right side
    777.40x = 233,601.16
  5. Step 5: Solve for x
    x = 233,601.16/777.40
  6. Step 6: Final answer
    x = 300.49

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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.