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Finding the Fourth Proportional to 151.83, 227.75 and 90.90

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Solution

The fourth proportional to 151.83, 227.75 and 90.90 is: 136.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.83 : 227.75 = 90.90 : x
  2. Step 2: Convert to fraction form
    151.83/227.75 = 90.90/x
  3. Step 3: Cross multiply
    151.83x = 227.75 × 90.90
  4. Step 4: Simplify right side
    151.83x = 20,702.02
  5. Step 5: Solve for x
    x = 20,702.02/151.83
  6. Step 6: Final answer
    x = 136.35

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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.