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Finding the Fourth Proportional to 179.88, 249.24 and 177.54

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Solution

The fourth proportional to 179.88, 249.24 and 177.54 is: 246.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.88 : 249.24 = 177.54 : x
  2. Step 2: Convert to fraction form
    179.88/249.24 = 177.54/x
  3. Step 3: Cross multiply
    179.88x = 249.24 × 177.54
  4. Step 4: Simplify right side
    179.88x = 44,250.07
  5. Step 5: Solve for x
    x = 44,250.07/179.88
  6. Step 6: Final answer
    x = 246.00

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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.