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Finding the Fourth Proportional to 185.48, 278.26 and 151.54

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Solution

The fourth proportional to 185.48, 278.26 and 151.54 is: 227.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.48 : 278.26 = 151.54 : x
  2. Step 2: Convert to fraction form
    185.48/278.26 = 151.54/x
  3. Step 3: Cross multiply
    185.48x = 278.26 × 151.54
  4. Step 4: Simplify right side
    185.48x = 42,167.52
  5. Step 5: Solve for x
    x = 42,167.52/185.48
  6. Step 6: Final answer
    x = 227.34

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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.