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Finding the Fourth Proportional to 500.75, 751.17 and 154.10

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Solution

The fourth proportional to 500.75, 751.17 and 154.10 is: 231.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.75 : 751.17 = 154.10 : x
  2. Step 2: Convert to fraction form
    500.75/751.17 = 154.10/x
  3. Step 3: Cross multiply
    500.75x = 751.17 × 154.10
  4. Step 4: Simplify right side
    500.75x = 115,757.75
  5. Step 5: Solve for x
    x = 115,757.75/500.75
  6. Step 6: Final answer
    x = 231.17

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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.