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Finding the Fourth Proportional to 209.52, 289.28 and 144.16

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Solution

The fourth proportional to 209.52, 289.28 and 144.16 is: 199.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.52 : 289.28 = 144.16 : x
  2. Step 2: Convert to fraction form
    209.52/289.28 = 144.16/x
  3. Step 3: Cross multiply
    209.52x = 289.28 × 144.16
  4. Step 4: Simplify right side
    209.52x = 41,702.60
  5. Step 5: Solve for x
    x = 41,702.60/209.52
  6. Step 6: Final answer
    x = 199.04

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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.