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Finding the Fourth Proportional to 186.18, 278.70 and 121.04

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Solution

The fourth proportional to 186.18, 278.70 and 121.04 is: 181.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.18 : 278.70 = 121.04 : x
  2. Step 2: Convert to fraction form
    186.18/278.70 = 121.04/x
  3. Step 3: Cross multiply
    186.18x = 278.70 × 121.04
  4. Step 4: Simplify right side
    186.18x = 33,733.76
  5. Step 5: Solve for x
    x = 33,733.76/186.18
  6. Step 6: Final answer
    x = 181.19

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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.