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Finding the Fourth Proportional to 150.20, 224.78 and 117.55

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Solution

The fourth proportional to 150.20, 224.78 and 117.55 is: 175.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.20 : 224.78 = 117.55 : x
  2. Step 2: Convert to fraction form
    150.20/224.78 = 117.55/x
  3. Step 3: Cross multiply
    150.20x = 224.78 × 117.55
  4. Step 4: Simplify right side
    150.20x = 26,422.58
  5. Step 5: Solve for x
    x = 26,422.58/150.20
  6. Step 6: Final answer
    x = 175.91

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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.