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Finding the Fourth Proportional to 186.59, 277.94 and 179.90

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Solution

The fourth proportional to 186.59, 277.94 and 179.90 is: 267.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.59 : 277.94 = 179.90 : x
  2. Step 2: Convert to fraction form
    186.59/277.94 = 179.90/x
  3. Step 3: Cross multiply
    186.59x = 277.94 × 179.90
  4. Step 4: Simplify right side
    186.59x = 50,001.20
  5. Step 5: Solve for x
    x = 50,001.20/186.59
  6. Step 6: Final answer
    x = 267.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.