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Finding the Fourth Proportional to 186.65, 279.77 and 121.69

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Solution

The fourth proportional to 186.65, 279.77 and 121.69 is: 182.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.65 : 279.77 = 121.69 : x
  2. Step 2: Convert to fraction form
    186.65/279.77 = 121.69/x
  3. Step 3: Cross multiply
    186.65x = 279.77 × 121.69
  4. Step 4: Simplify right side
    186.65x = 34,043.81
  5. Step 5: Solve for x
    x = 34,043.81/186.65
  6. Step 6: Final answer
    x = 182.40

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