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Finding the Fourth Proportional to 151.16, 226.65 and 90.31

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Solution

The fourth proportional to 151.16, 226.65 and 90.31 is: 135.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.16 : 226.65 = 90.31 : x
  2. Step 2: Convert to fraction form
    151.16/226.65 = 90.31/x
  3. Step 3: Cross multiply
    151.16x = 226.65 × 90.31
  4. Step 4: Simplify right side
    151.16x = 20,468.76
  5. Step 5: Solve for x
    x = 20,468.76/151.16
  6. Step 6: Final answer
    x = 135.41

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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.