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Finding the Fourth Proportional to 229.85, 344.55 and 114.20

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Solution

The fourth proportional to 229.85, 344.55 and 114.20 is: 171.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.85 : 344.55 = 114.20 : x
  2. Step 2: Convert to fraction form
    229.85/344.55 = 114.20/x
  3. Step 3: Cross multiply
    229.85x = 344.55 × 114.20
  4. Step 4: Simplify right side
    229.85x = 39,347.61
  5. Step 5: Solve for x
    x = 39,347.61/229.85
  6. Step 6: Final answer
    x = 171.19

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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.