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Finding the Fourth Proportional to 209.42, 314.28 and 87.72

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Solution

The fourth proportional to 209.42, 314.28 and 87.72 is: 131.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.42 : 314.28 = 87.72 : x
  2. Step 2: Convert to fraction form
    209.42/314.28 = 87.72/x
  3. Step 3: Cross multiply
    209.42x = 314.28 × 87.72
  4. Step 4: Simplify right side
    209.42x = 27,567.46
  5. Step 5: Solve for x
    x = 27,567.46/209.42
  6. Step 6: Final answer
    x = 131.64

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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.