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Finding the Fourth Proportional to 180.13, 247.85 and 176.04

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Solution

The fourth proportional to 180.13, 247.85 and 176.04 is: 242.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.13 : 247.85 = 176.04 : x
  2. Step 2: Convert to fraction form
    180.13/247.85 = 176.04/x
  3. Step 3: Cross multiply
    180.13x = 247.85 × 176.04
  4. Step 4: Simplify right side
    180.13x = 43,629.39
  5. Step 5: Solve for x
    x = 43,629.39/180.13
  6. Step 6: Final answer
    x = 242.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.