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Finding the Fourth Proportional to 186.59, 279.48 and 180.53

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Solution

The fourth proportional to 186.59, 279.48 and 180.53 is: 270.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.59 : 279.48 = 180.53 : x
  2. Step 2: Convert to fraction form
    186.59/279.48 = 180.53/x
  3. Step 3: Cross multiply
    186.59x = 279.48 × 180.53
  4. Step 4: Simplify right side
    186.59x = 50,454.52
  5. Step 5: Solve for x
    x = 50,454.52/186.59
  6. Step 6: Final answer
    x = 270.40

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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.