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Finding the Fourth Proportional to 269.54, 372.04 and 157.60

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Solution

The fourth proportional to 269.54, 372.04 and 157.60 is: 217.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.54 : 372.04 = 157.60 : x
  2. Step 2: Convert to fraction form
    269.54/372.04 = 157.60/x
  3. Step 3: Cross multiply
    269.54x = 372.04 × 157.60
  4. Step 4: Simplify right side
    269.54x = 58,633.50
  5. Step 5: Solve for x
    x = 58,633.50/269.54
  6. Step 6: Final answer
    x = 217.53

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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.