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Finding the Fourth Proportional to 238.42, 355.28 and 229.60

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Solution

The fourth proportional to 238.42, 355.28 and 229.60 is: 342.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.42 : 355.28 = 229.60 : x
  2. Step 2: Convert to fraction form
    238.42/355.28 = 229.60/x
  3. Step 3: Cross multiply
    238.42x = 355.28 × 229.60
  4. Step 4: Simplify right side
    238.42x = 81,572.29
  5. Step 5: Solve for x
    x = 81,572.29/238.42
  6. Step 6: Final answer
    x = 342.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.