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Finding the Fourth Proportional to 500.27, 750.40 and 135.05

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Solution

The fourth proportional to 500.27, 750.40 and 135.05 is: 202.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.27 : 750.40 = 135.05 : x
  2. Step 2: Convert to fraction form
    500.27/750.40 = 135.05/x
  3. Step 3: Cross multiply
    500.27x = 750.40 × 135.05
  4. Step 4: Simplify right side
    500.27x = 101,340.84
  5. Step 5: Solve for x
    x = 101,340.84/500.27
  6. Step 6: Final answer
    x = 202.57

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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.