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Finding the Fourth Proportional to 186.13, 278.64 and 114.13

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Solution

The fourth proportional to 186.13, 278.64 and 114.13 is: 170.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.13 : 278.64 = 114.13 : x
  2. Step 2: Convert to fraction form
    186.13/278.64 = 114.13/x
  3. Step 3: Cross multiply
    186.13x = 278.64 × 114.13
  4. Step 4: Simplify right side
    186.13x = 31,801.18
  5. Step 5: Solve for x
    x = 31,801.18/186.13
  6. Step 6: Final answer
    x = 170.85

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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.