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Finding the Fourth Proportional to 151, 226.50 and 99.64

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Solution

The fourth proportional to 151, 226.50 and 99.64 is: 149.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    151 : 226.50 = 99.64 : x
  2. Step 2: Convert to fraction form
    151/226.50 = 99.64/x
  3. Step 3: Cross multiply
    151x = 226.50 × 99.64
  4. Step 4: Simplify right side
    151x = 22,568.46
  5. Step 5: Solve for x
    x = 22,568.46/151
  6. Step 6: Final answer
    x = 149.46

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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.