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Finding the Fourth Proportional to 225.39, 337.74 and 167.52

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Solution

The fourth proportional to 225.39, 337.74 and 167.52 is: 251.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.39 : 337.74 = 167.52 : x
  2. Step 2: Convert to fraction form
    225.39/337.74 = 167.52/x
  3. Step 3: Cross multiply
    225.39x = 337.74 × 167.52
  4. Step 4: Simplify right side
    225.39x = 56,578.20
  5. Step 5: Solve for x
    x = 56,578.20/225.39
  6. Step 6: Final answer
    x = 251.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.