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Finding the Fourth Proportional to 229.66, 344.15 and 181.03

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Solution

The fourth proportional to 229.66, 344.15 and 181.03 is: 271.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.66 : 344.15 = 181.03 : x
  2. Step 2: Convert to fraction form
    229.66/344.15 = 181.03/x
  3. Step 3: Cross multiply
    229.66x = 344.15 × 181.03
  4. Step 4: Simplify right side
    229.66x = 62,300.79
  5. Step 5: Solve for x
    x = 62,300.79/229.66
  6. Step 6: Final answer
    x = 271.27

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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.