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Finding the Fourth Proportional to 227.42, 314.10 and 153.61

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Solution

The fourth proportional to 227.42, 314.10 and 153.61 is: 212.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.42 : 314.10 = 153.61 : x
  2. Step 2: Convert to fraction form
    227.42/314.10 = 153.61/x
  3. Step 3: Cross multiply
    227.42x = 314.10 × 153.61
  4. Step 4: Simplify right side
    227.42x = 48,248.90
  5. Step 5: Solve for x
    x = 48,248.90/227.42
  6. Step 6: Final answer
    x = 212.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.