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Finding the Fourth Proportional to 186.93, 280.42 and 49.98

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Solution

The fourth proportional to 186.93, 280.42 and 49.98 is: 74.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.93 : 280.42 = 49.98 : x
  2. Step 2: Convert to fraction form
    186.93/280.42 = 49.98/x
  3. Step 3: Cross multiply
    186.93x = 280.42 × 49.98
  4. Step 4: Simplify right side
    186.93x = 14,013.74
  5. Step 5: Solve for x
    x = 14,013.74/186.93
  6. Step 6: Final answer
    x = 74.97

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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.