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Finding the Fourth Proportional to 187.95, 280.68 and 160.68

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Solution

The fourth proportional to 187.95, 280.68 and 160.68 is: 239.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.95 : 280.68 = 160.68 : x
  2. Step 2: Convert to fraction form
    187.95/280.68 = 160.68/x
  3. Step 3: Cross multiply
    187.95x = 280.68 × 160.68
  4. Step 4: Simplify right side
    187.95x = 45,099.66
  5. Step 5: Solve for x
    x = 45,099.66/187.95
  6. Step 6: Final answer
    x = 239.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.