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Finding the Fourth Proportional to 229.30, 316.68 and 174.04

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Solution

The fourth proportional to 229.30, 316.68 and 174.04 is: 240.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.30 : 316.68 = 174.04 : x
  2. Step 2: Convert to fraction form
    229.30/316.68 = 174.04/x
  3. Step 3: Cross multiply
    229.30x = 316.68 × 174.04
  4. Step 4: Simplify right side
    229.30x = 55,114.99
  5. Step 5: Solve for x
    x = 55,114.99/229.30
  6. Step 6: Final answer
    x = 240.36

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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.