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Finding the Fourth Proportional to 209.91, 314.82 and 78.13

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Solution

The fourth proportional to 209.91, 314.82 and 78.13 is: 117.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.91 : 314.82 = 78.13 : x
  2. Step 2: Convert to fraction form
    209.91/314.82 = 78.13/x
  3. Step 3: Cross multiply
    209.91x = 314.82 × 78.13
  4. Step 4: Simplify right side
    209.91x = 24,597.28
  5. Step 5: Solve for x
    x = 24,597.28/209.91
  6. Step 6: Final answer
    x = 117.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.