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Finding the Fourth Proportional to 186.54, 279.78 and 49.59

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Solution

The fourth proportional to 186.54, 279.78 and 49.59 is: 74.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.54 : 279.78 = 49.59 : x
  2. Step 2: Convert to fraction form
    186.54/279.78 = 49.59/x
  3. Step 3: Cross multiply
    186.54x = 279.78 × 49.59
  4. Step 4: Simplify right side
    186.54x = 13,874.29
  5. Step 5: Solve for x
    x = 13,874.29/186.54
  6. Step 6: Final answer
    x = 74.38

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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.