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Finding the Fourth Proportional to 209.59, 314.29 and 72.59

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Solution

The fourth proportional to 209.59, 314.29 and 72.59 is: 108.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.59 : 314.29 = 72.59 : x
  2. Step 2: Convert to fraction form
    209.59/314.29 = 72.59/x
  3. Step 3: Cross multiply
    209.59x = 314.29 × 72.59
  4. Step 4: Simplify right side
    209.59x = 22,814.31
  5. Step 5: Solve for x
    x = 22,814.31/209.59
  6. Step 6: Final answer
    x = 108.85

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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.