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Finding the Fourth Proportional to 500.20, 750.33 and 171.14

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Solution

The fourth proportional to 500.20, 750.33 and 171.14 is: 256.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.20 : 750.33 = 171.14 : x
  2. Step 2: Convert to fraction form
    500.20/750.33 = 171.14/x
  3. Step 3: Cross multiply
    500.20x = 750.33 × 171.14
  4. Step 4: Simplify right side
    500.20x = 128,407.72
  5. Step 5: Solve for x
    x = 128,407.72/500.20
  6. Step 6: Final answer
    x = 256.71

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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.