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Finding the Fourth Proportional to 187.50, 280.53 and 166.98

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Solution

The fourth proportional to 187.50, 280.53 and 166.98 is: 249.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.50 : 280.53 = 166.98 : x
  2. Step 2: Convert to fraction form
    187.50/280.53 = 166.98/x
  3. Step 3: Cross multiply
    187.50x = 280.53 × 166.98
  4. Step 4: Simplify right side
    187.50x = 46,842.90
  5. Step 5: Solve for x
    x = 46,842.90/187.50
  6. Step 6: Final answer
    x = 249.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.