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Finding the Fourth Proportional to 229.76, 344.10 and 181.52

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Solution

The fourth proportional to 229.76, 344.10 and 181.52 is: 271.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.76 : 344.10 = 181.52 : x
  2. Step 2: Convert to fraction form
    229.76/344.10 = 181.52/x
  3. Step 3: Cross multiply
    229.76x = 344.10 × 181.52
  4. Step 4: Simplify right side
    229.76x = 62,461.03
  5. Step 5: Solve for x
    x = 62,461.03/229.76
  6. Step 6: Final answer
    x = 271.85

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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.