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Finding the Fourth Proportional to 209.42, 314.14 and 65.13

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Solution

The fourth proportional to 209.42, 314.14 and 65.13 is: 97.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.42 : 314.14 = 65.13 : x
  2. Step 2: Convert to fraction form
    209.42/314.14 = 65.13/x
  3. Step 3: Cross multiply
    209.42x = 314.14 × 65.13
  4. Step 4: Simplify right side
    209.42x = 20,459.94
  5. Step 5: Solve for x
    x = 20,459.94/209.42
  6. Step 6: Final answer
    x = 97.70

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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.