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Finding the Fourth Proportional to 151.26, 225.66 and 123.90

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Solution

The fourth proportional to 151.26, 225.66 and 123.90 is: 184.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.26 : 225.66 = 123.90 : x
  2. Step 2: Convert to fraction form
    151.26/225.66 = 123.90/x
  3. Step 3: Cross multiply
    151.26x = 225.66 × 123.90
  4. Step 4: Simplify right side
    151.26x = 27,959.27
  5. Step 5: Solve for x
    x = 27,959.27/151.26
  6. Step 6: Final answer
    x = 184.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.