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Finding the Fourth Proportional to 209.41, 314.16 and 65.13

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Solution

The fourth proportional to 209.41, 314.16 and 65.13 is: 97.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.41 : 314.16 = 65.13 : x
  2. Step 2: Convert to fraction form
    209.41/314.16 = 65.13/x
  3. Step 3: Cross multiply
    209.41x = 314.16 × 65.13
  4. Step 4: Simplify right side
    209.41x = 20,461.24
  5. Step 5: Solve for x
    x = 20,461.24/209.41
  6. Step 6: Final answer
    x = 97.71

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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.