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Finding the Fourth Proportional to 187.98, 280.02 and 177.72

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Solution

The fourth proportional to 187.98, 280.02 and 177.72 is: 264.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.98 : 280.02 = 177.72 : x
  2. Step 2: Convert to fraction form
    187.98/280.02 = 177.72/x
  3. Step 3: Cross multiply
    187.98x = 280.02 × 177.72
  4. Step 4: Simplify right side
    187.98x = 49,765.15
  5. Step 5: Solve for x
    x = 49,765.15/187.98
  6. Step 6: Final answer
    x = 264.74

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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.