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Finding the Fourth Proportional to 151.84, 225.84 and 147.28

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Solution

The fourth proportional to 151.84, 225.84 and 147.28 is: 219.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.84 : 225.84 = 147.28 : x
  2. Step 2: Convert to fraction form
    151.84/225.84 = 147.28/x
  3. Step 3: Cross multiply
    151.84x = 225.84 × 147.28
  4. Step 4: Simplify right side
    151.84x = 33,261.72
  5. Step 5: Solve for x
    x = 33,261.72/151.84
  6. Step 6: Final answer
    x = 219.06

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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.