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Finding the Fourth Proportional to 186.10, 279.04 and 114.02

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Solution

The fourth proportional to 186.10, 279.04 and 114.02 is: 170.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.10 : 279.04 = 114.02 : x
  2. Step 2: Convert to fraction form
    186.10/279.04 = 114.02/x
  3. Step 3: Cross multiply
    186.10x = 279.04 × 114.02
  4. Step 4: Simplify right side
    186.10x = 31,816.14
  5. Step 5: Solve for x
    x = 31,816.14/186.10
  6. Step 6: Final answer
    x = 170.96

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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.