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Finding the Fourth Proportional to 225.60, 337.05 and 174.12

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Solution

The fourth proportional to 225.60, 337.05 and 174.12 is: 260.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.60 : 337.05 = 174.12 : x
  2. Step 2: Convert to fraction form
    225.60/337.05 = 174.12/x
  3. Step 3: Cross multiply
    225.60x = 337.05 × 174.12
  4. Step 4: Simplify right side
    225.60x = 58,687.15
  5. Step 5: Solve for x
    x = 58,687.15/225.60
  6. Step 6: Final answer
    x = 260.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.