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Finding the Fourth Proportional to 150.62, 225.72 and 116.42

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Solution

The fourth proportional to 150.62, 225.72 and 116.42 is: 174.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.62 : 225.72 = 116.42 : x
  2. Step 2: Convert to fraction form
    150.62/225.72 = 116.42/x
  3. Step 3: Cross multiply
    150.62x = 225.72 × 116.42
  4. Step 4: Simplify right side
    150.62x = 26,277.19
  5. Step 5: Solve for x
    x = 26,277.19/150.62
  6. Step 6: Final answer
    x = 174.47

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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.