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Finding the Fourth Proportional to 500.86, 751.26 and 135.70

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Solution

The fourth proportional to 500.86, 751.26 and 135.70 is: 203.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.86 : 751.26 = 135.70 : x
  2. Step 2: Convert to fraction form
    500.86/751.26 = 135.70/x
  3. Step 3: Cross multiply
    500.86x = 751.26 × 135.70
  4. Step 4: Simplify right side
    500.86x = 101,945.98
  5. Step 5: Solve for x
    x = 101,945.98/500.86
  6. Step 6: Final answer
    x = 203.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.