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Finding the Fourth Proportional to 238.68, 357.59 and 147.20

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Solution

The fourth proportional to 238.68, 357.59 and 147.20 is: 220.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.68 : 357.59 = 147.20 : x
  2. Step 2: Convert to fraction form
    238.68/357.59 = 147.20/x
  3. Step 3: Cross multiply
    238.68x = 357.59 × 147.20
  4. Step 4: Simplify right side
    238.68x = 52,635.83
  5. Step 5: Solve for x
    x = 52,635.83/238.68
  6. Step 6: Final answer
    x = 220.53

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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.