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Finding the Fourth Proportional to 209.43, 314.24 and 99.82

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Solution

The fourth proportional to 209.43, 314.24 and 99.82 is: 149.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.43 : 314.24 = 99.82 : x
  2. Step 2: Convert to fraction form
    209.43/314.24 = 99.82/x
  3. Step 3: Cross multiply
    209.43x = 314.24 × 99.82
  4. Step 4: Simplify right side
    209.43x = 31,366.15
  5. Step 5: Solve for x
    x = 31,366.15/209.43
  6. Step 6: Final answer
    x = 149.77

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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.