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Finding the Fourth Proportional to 178.10, 247.44 and 175.94

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Solution

The fourth proportional to 178.10, 247.44 and 175.94 is: 244.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.10 : 247.44 = 175.94 : x
  2. Step 2: Convert to fraction form
    178.10/247.44 = 175.94/x
  3. Step 3: Cross multiply
    178.10x = 247.44 × 175.94
  4. Step 4: Simplify right side
    178.10x = 43,533.95
  5. Step 5: Solve for x
    x = 43,533.95/178.10
  6. Step 6: Final answer
    x = 244.44

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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.