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Finding the Fourth Proportional to 500.57, 750.75 and 135.41

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Solution

The fourth proportional to 500.57, 750.75 and 135.41 is: 203.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.57 : 750.75 = 135.41 : x
  2. Step 2: Convert to fraction form
    500.57/750.75 = 135.41/x
  3. Step 3: Cross multiply
    500.57x = 750.75 × 135.41
  4. Step 4: Simplify right side
    500.57x = 101,659.06
  5. Step 5: Solve for x
    x = 101,659.06/500.57
  6. Step 6: Final answer
    x = 203.09

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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.