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Finding the Fourth Proportional to 240.10, 359.97 and 95.74

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Solution

The fourth proportional to 240.10, 359.97 and 95.74 is: 143.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.10 : 359.97 = 95.74 : x
  2. Step 2: Convert to fraction form
    240.10/359.97 = 95.74/x
  3. Step 3: Cross multiply
    240.10x = 359.97 × 95.74
  4. Step 4: Simplify right side
    240.10x = 34,463.53
  5. Step 5: Solve for x
    x = 34,463.53/240.10
  6. Step 6: Final answer
    x = 143.54

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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.