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Finding the Fourth Proportional to 186.47, 279.35 and 174.86

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Solution

The fourth proportional to 186.47, 279.35 and 174.86 is: 261.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.47 : 279.35 = 174.86 : x
  2. Step 2: Convert to fraction form
    186.47/279.35 = 174.86/x
  3. Step 3: Cross multiply
    186.47x = 279.35 × 174.86
  4. Step 4: Simplify right side
    186.47x = 48,846.57
  5. Step 5: Solve for x
    x = 48,846.57/186.47
  6. Step 6: Final answer
    x = 261.96

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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.