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Finding the Fourth Proportional to 272.52, 408.56 and 157.10

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Solution

The fourth proportional to 272.52, 408.56 and 157.10 is: 235.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.52 : 408.56 = 157.10 : x
  2. Step 2: Convert to fraction form
    272.52/408.56 = 157.10/x
  3. Step 3: Cross multiply
    272.52x = 408.56 × 157.10
  4. Step 4: Simplify right side
    272.52x = 64,181.95
  5. Step 5: Solve for x
    x = 64,181.95/272.52
  6. Step 6: Final answer
    x = 235.51

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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.