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Finding the Fourth Proportional to 185.04, 276.17 and 166.77

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Solution

The fourth proportional to 185.04, 276.17 and 166.77 is: 248.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.04 : 276.17 = 166.77 : x
  2. Step 2: Convert to fraction form
    185.04/276.17 = 166.77/x
  3. Step 3: Cross multiply
    185.04x = 276.17 × 166.77
  4. Step 4: Simplify right side
    185.04x = 46,056.04
  5. Step 5: Solve for x
    x = 46,056.04/185.04
  6. Step 6: Final answer
    x = 248.90

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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.