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Finding the Fourth Proportional to 151.07, 226.80 and 90.32

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Solution

The fourth proportional to 151.07, 226.80 and 90.32 is: 135.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.07 : 226.80 = 90.32 : x
  2. Step 2: Convert to fraction form
    151.07/226.80 = 90.32/x
  3. Step 3: Cross multiply
    151.07x = 226.80 × 90.32
  4. Step 4: Simplify right side
    151.07x = 20,483.44
  5. Step 5: Solve for x
    x = 20,483.44/151.07
  6. Step 6: Final answer
    x = 135.59

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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.