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Finding the Fourth Proportional to 180.85, 250.85 and 176.11

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Solution

The fourth proportional to 180.85, 250.85 and 176.11 is: 244.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.85 : 250.85 = 176.11 : x
  2. Step 2: Convert to fraction form
    180.85/250.85 = 176.11/x
  3. Step 3: Cross multiply
    180.85x = 250.85 × 176.11
  4. Step 4: Simplify right side
    180.85x = 44,177.19
  5. Step 5: Solve for x
    x = 44,177.19/180.85
  6. Step 6: Final answer
    x = 244.28

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.