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Finding the Fourth Proportional to 151.68, 225.76 and 146.56

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Solution

The fourth proportional to 151.68, 225.76 and 146.56 is: 218.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.68 : 225.76 = 146.56 : x
  2. Step 2: Convert to fraction form
    151.68/225.76 = 146.56/x
  3. Step 3: Cross multiply
    151.68x = 225.76 × 146.56
  4. Step 4: Simplify right side
    151.68x = 33,087.39
  5. Step 5: Solve for x
    x = 33,087.39/151.68
  6. Step 6: Final answer
    x = 218.14

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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.