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Finding the Fourth Proportional to 186.66, 279.97 and 49.71

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Solution

The fourth proportional to 186.66, 279.97 and 49.71 is: 74.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.66 : 279.97 = 49.71 : x
  2. Step 2: Convert to fraction form
    186.66/279.97 = 49.71/x
  3. Step 3: Cross multiply
    186.66x = 279.97 × 49.71
  4. Step 4: Simplify right side
    186.66x = 13,917.31
  5. Step 5: Solve for x
    x = 13,917.31/186.66
  6. Step 6: Final answer
    x = 74.56

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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.