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Finding the Fourth Proportional to 187.39, 280.99 and 148.78

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Solution

The fourth proportional to 187.39, 280.99 and 148.78 is: 223.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.39 : 280.99 = 148.78 : x
  2. Step 2: Convert to fraction form
    187.39/280.99 = 148.78/x
  3. Step 3: Cross multiply
    187.39x = 280.99 × 148.78
  4. Step 4: Simplify right side
    187.39x = 41,805.69
  5. Step 5: Solve for x
    x = 41,805.69/187.39
  6. Step 6: Final answer
    x = 223.09

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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.