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Finding the Fourth Proportional to 179.75, 247.82 and 174.08

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Solution

The fourth proportional to 179.75, 247.82 and 174.08 is: 240.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.75 : 247.82 = 174.08 : x
  2. Step 2: Convert to fraction form
    179.75/247.82 = 174.08/x
  3. Step 3: Cross multiply
    179.75x = 247.82 × 174.08
  4. Step 4: Simplify right side
    179.75x = 43,138.40
  5. Step 5: Solve for x
    x = 43,138.40/179.75
  6. Step 6: Final answer
    x = 240.00

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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.