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Finding the Fourth Proportional to 225.32, 337.86 and 95.27

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Solution

The fourth proportional to 225.32, 337.86 and 95.27 is: 142.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.32 : 337.86 = 95.27 : x
  2. Step 2: Convert to fraction form
    225.32/337.86 = 95.27/x
  3. Step 3: Cross multiply
    225.32x = 337.86 × 95.27
  4. Step 4: Simplify right side
    225.32x = 32,186.23
  5. Step 5: Solve for x
    x = 32,186.23/225.32
  6. Step 6: Final answer
    x = 142.85

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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.