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Finding the Fourth Proportional to 158.70, 239.20 and 147.56

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Solution

The fourth proportional to 158.70, 239.20 and 147.56 is: 222.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.70 : 239.20 = 147.56 : x
  2. Step 2: Convert to fraction form
    158.70/239.20 = 147.56/x
  3. Step 3: Cross multiply
    158.70x = 239.20 × 147.56
  4. Step 4: Simplify right side
    158.70x = 35,296.35
  5. Step 5: Solve for x
    x = 35,296.35/158.70
  6. Step 6: Final answer
    x = 222.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.