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Finding the Fourth Proportional to 185.47, 276.26 and 176.11

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Solution

The fourth proportional to 185.47, 276.26 and 176.11 is: 262.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.47 : 276.26 = 176.11 : x
  2. Step 2: Convert to fraction form
    185.47/276.26 = 176.11/x
  3. Step 3: Cross multiply
    185.47x = 276.26 × 176.11
  4. Step 4: Simplify right side
    185.47x = 48,649.89
  5. Step 5: Solve for x
    x = 48,649.89/185.47
  6. Step 6: Final answer
    x = 262.31

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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.