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Finding the Fourth Proportional to 151.49, 226.88 and 148.98

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Solution

The fourth proportional to 151.49, 226.88 and 148.98 is: 223.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.49 : 226.88 = 148.98 : x
  2. Step 2: Convert to fraction form
    151.49/226.88 = 148.98/x
  3. Step 3: Cross multiply
    151.49x = 226.88 × 148.98
  4. Step 4: Simplify right side
    151.49x = 33,800.58
  5. Step 5: Solve for x
    x = 33,800.58/151.49
  6. Step 6: Final answer
    x = 223.12

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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.