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Finding the Fourth Proportional to 185.76, 279.89 and 166.11

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Solution

The fourth proportional to 185.76, 279.89 and 166.11 is: 250.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.76 : 279.89 = 166.11 : x
  2. Step 2: Convert to fraction form
    185.76/279.89 = 166.11/x
  3. Step 3: Cross multiply
    185.76x = 279.89 × 166.11
  4. Step 4: Simplify right side
    185.76x = 46,492.53
  5. Step 5: Solve for x
    x = 46,492.53/185.76
  6. Step 6: Final answer
    x = 250.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.