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Finding the Fourth Proportional to 229.08, 316.23 and 173.96

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Solution

The fourth proportional to 229.08, 316.23 and 173.96 is: 240.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.08 : 316.23 = 173.96 : x
  2. Step 2: Convert to fraction form
    229.08/316.23 = 173.96/x
  3. Step 3: Cross multiply
    229.08x = 316.23 × 173.96
  4. Step 4: Simplify right side
    229.08x = 55,009.79
  5. Step 5: Solve for x
    x = 55,009.79/229.08
  6. Step 6: Final answer
    x = 240.13

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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.