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Finding the Fourth Proportional to 151.48, 225.41 and 150.76

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Solution

The fourth proportional to 151.48, 225.41 and 150.76 is: 224.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.48 : 225.41 = 150.76 : x
  2. Step 2: Convert to fraction form
    151.48/225.41 = 150.76/x
  3. Step 3: Cross multiply
    151.48x = 225.41 × 150.76
  4. Step 4: Simplify right side
    151.48x = 33,982.81
  5. Step 5: Solve for x
    x = 33,982.81/151.48
  6. Step 6: Final answer
    x = 224.34

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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.