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Finding the Fourth Proportional to 209.13, 314.13 and 140.74

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Solution

The fourth proportional to 209.13, 314.13 and 140.74 is: 211.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.13 : 314.13 = 140.74 : x
  2. Step 2: Convert to fraction form
    209.13/314.13 = 140.74/x
  3. Step 3: Cross multiply
    209.13x = 314.13 × 140.74
  4. Step 4: Simplify right side
    209.13x = 44,209.61
  5. Step 5: Solve for x
    x = 44,209.61/209.13
  6. Step 6: Final answer
    x = 211.40

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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.