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Finding the Fourth Proportional to 209.71, 314.50 and 113.47

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Solution

The fourth proportional to 209.71, 314.50 and 113.47 is: 170.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.71 : 314.50 = 113.47 : x
  2. Step 2: Convert to fraction form
    209.71/314.50 = 113.47/x
  3. Step 3: Cross multiply
    209.71x = 314.50 × 113.47
  4. Step 4: Simplify right side
    209.71x = 35,686.32
  5. Step 5: Solve for x
    x = 35,686.32/209.71
  6. Step 6: Final answer
    x = 170.17

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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.