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Finding the Fourth Proportional to 200.54, 300.50 and 113.77

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Solution

The fourth proportional to 200.54, 300.50 and 113.77 is: 170.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.54 : 300.50 = 113.77 : x
  2. Step 2: Convert to fraction form
    200.54/300.50 = 113.77/x
  3. Step 3: Cross multiply
    200.54x = 300.50 × 113.77
  4. Step 4: Simplify right side
    200.54x = 34,185.81
  5. Step 5: Solve for x
    x = 34,185.81/200.54
  6. Step 6: Final answer
    x = 170.47

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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.