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Finding the Fourth Proportional to 209.68, 289.14 and 180.28

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Solution

The fourth proportional to 209.68, 289.14 and 180.28 is: 248.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.68 : 289.14 = 180.28 : x
  2. Step 2: Convert to fraction form
    209.68/289.14 = 180.28/x
  3. Step 3: Cross multiply
    209.68x = 289.14 × 180.28
  4. Step 4: Simplify right side
    209.68x = 52,126.16
  5. Step 5: Solve for x
    x = 52,126.16/209.68
  6. Step 6: Final answer
    x = 248.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.