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Finding the Fourth Proportional to 229.18, 342.82 and 173.92

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Solution

The fourth proportional to 229.18, 342.82 and 173.92 is: 260.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.18 : 342.82 = 173.92 : x
  2. Step 2: Convert to fraction form
    229.18/342.82 = 173.92/x
  3. Step 3: Cross multiply
    229.18x = 342.82 × 173.92
  4. Step 4: Simplify right side
    229.18x = 59,623.25
  5. Step 5: Solve for x
    x = 59,623.25/229.18
  6. Step 6: Final answer
    x = 260.16

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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.