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Finding the Fourth Proportional to 209.61, 314.28 and 169.11

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Solution

The fourth proportional to 209.61, 314.28 and 169.11 is: 253.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.61 : 314.28 = 169.11 : x
  2. Step 2: Convert to fraction form
    209.61/314.28 = 169.11/x
  3. Step 3: Cross multiply
    209.61x = 314.28 × 169.11
  4. Step 4: Simplify right side
    209.61x = 53,147.89
  5. Step 5: Solve for x
    x = 53,147.89/209.61
  6. Step 6: Final answer
    x = 253.56

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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.