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Finding the Fourth Proportional to 500.10, 750.14 and 134.86

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Solution

The fourth proportional to 500.10, 750.14 and 134.86 is: 202.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.10 : 750.14 = 134.86 : x
  2. Step 2: Convert to fraction form
    500.10/750.14 = 134.86/x
  3. Step 3: Cross multiply
    500.10x = 750.14 × 134.86
  4. Step 4: Simplify right side
    500.10x = 101,162.34
  5. Step 5: Solve for x
    x = 101,162.34/500.10
  6. Step 6: Final answer
    x = 202.29

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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.