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Finding the Fourth Proportional to 178.85, 247.83 and 175.61

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Solution

The fourth proportional to 178.85, 247.83 and 175.61 is: 243.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.85 : 247.83 = 175.61 : x
  2. Step 2: Convert to fraction form
    178.85/247.83 = 175.61/x
  3. Step 3: Cross multiply
    178.85x = 247.83 × 175.61
  4. Step 4: Simplify right side
    178.85x = 43,520.19
  5. Step 5: Solve for x
    x = 43,520.19/178.85
  6. Step 6: Final answer
    x = 243.34

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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.