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Finding the Fourth Proportional to 238.39, 358.18 and 151.76

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Solution

The fourth proportional to 238.39, 358.18 and 151.76 is: 228.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.39 : 358.18 = 151.76 : x
  2. Step 2: Convert to fraction form
    238.39/358.18 = 151.76/x
  3. Step 3: Cross multiply
    238.39x = 358.18 × 151.76
  4. Step 4: Simplify right side
    238.39x = 54,356.12
  5. Step 5: Solve for x
    x = 54,356.12/238.39
  6. Step 6: Final answer
    x = 228.02

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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.