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Finding the Fourth Proportional to 159.98, 240.24 and 125.60

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Solution

The fourth proportional to 159.98, 240.24 and 125.60 is: 188.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.98 : 240.24 = 125.60 : x
  2. Step 2: Convert to fraction form
    159.98/240.24 = 125.60/x
  3. Step 3: Cross multiply
    159.98x = 240.24 × 125.60
  4. Step 4: Simplify right side
    159.98x = 30,174.14
  5. Step 5: Solve for x
    x = 30,174.14/159.98
  6. Step 6: Final answer
    x = 188.61

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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.