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Finding the Fourth Proportional to 151.48, 226.80 and 102.82

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Solution

The fourth proportional to 151.48, 226.80 and 102.82 is: 153.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.48 : 226.80 = 102.82 : x
  2. Step 2: Convert to fraction form
    151.48/226.80 = 102.82/x
  3. Step 3: Cross multiply
    151.48x = 226.80 × 102.82
  4. Step 4: Simplify right side
    151.48x = 23,319.58
  5. Step 5: Solve for x
    x = 23,319.58/151.48
  6. Step 6: Final answer
    x = 153.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.