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Finding the Fourth Proportional to 209.46, 314.16 and 65.16

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Solution

The fourth proportional to 209.46, 314.16 and 65.16 is: 97.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.46 : 314.16 = 65.16 : x
  2. Step 2: Convert to fraction form
    209.46/314.16 = 65.16/x
  3. Step 3: Cross multiply
    209.46x = 314.16 × 65.16
  4. Step 4: Simplify right side
    209.46x = 20,470.67
  5. Step 5: Solve for x
    x = 20,470.67/209.46
  6. Step 6: Final answer
    x = 97.73

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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.