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Finding the Fourth Proportional to 238.64, 357.68 and 101.76

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Solution

The fourth proportional to 238.64, 357.68 and 101.76 is: 152.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.64 : 357.68 = 101.76 : x
  2. Step 2: Convert to fraction form
    238.64/357.68 = 101.76/x
  3. Step 3: Cross multiply
    238.64x = 357.68 × 101.76
  4. Step 4: Simplify right side
    238.64x = 36,397.52
  5. Step 5: Solve for x
    x = 36,397.52/238.64
  6. Step 6: Final answer
    x = 152.52

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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.