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Finding the Fourth Proportional to 229.40, 316.61 and 174.05

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Solution

The fourth proportional to 229.40, 316.61 and 174.05 is: 240.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.40 : 316.61 = 174.05 : x
  2. Step 2: Convert to fraction form
    229.40/316.61 = 174.05/x
  3. Step 3: Cross multiply
    229.40x = 316.61 × 174.05
  4. Step 4: Simplify right side
    229.40x = 55,103.52
  5. Step 5: Solve for x
    x = 55,103.52/229.40
  6. Step 6: Final answer
    x = 240.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.