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Finding the Fourth Proportional to 209.79, 314.55 and 151.88

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Solution

The fourth proportional to 209.79, 314.55 and 151.88 is: 227.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.79 : 314.55 = 151.88 : x
  2. Step 2: Convert to fraction form
    209.79/314.55 = 151.88/x
  3. Step 3: Cross multiply
    209.79x = 314.55 × 151.88
  4. Step 4: Simplify right side
    209.79x = 47,772.28
  5. Step 5: Solve for x
    x = 47,772.28/209.79
  6. Step 6: Final answer
    x = 227.71

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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.