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Finding the Fourth Proportional to 209.32, 314.10 and 93.76

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Solution

The fourth proportional to 209.32, 314.10 and 93.76 is: 140.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.32 : 314.10 = 93.76 : x
  2. Step 2: Convert to fraction form
    209.32/314.10 = 93.76/x
  3. Step 3: Cross multiply
    209.32x = 314.10 × 93.76
  4. Step 4: Simplify right side
    209.32x = 29,450.02
  5. Step 5: Solve for x
    x = 29,450.02/209.32
  6. Step 6: Final answer
    x = 140.69

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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.