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Finding the Fourth Proportional to 178.06, 245.74 and 100.44

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Solution

The fourth proportional to 178.06, 245.74 and 100.44 is: 138.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.06 : 245.74 = 100.44 : x
  2. Step 2: Convert to fraction form
    178.06/245.74 = 100.44/x
  3. Step 3: Cross multiply
    178.06x = 245.74 × 100.44
  4. Step 4: Simplify right side
    178.06x = 24,682.13
  5. Step 5: Solve for x
    x = 24,682.13/178.06
  6. Step 6: Final answer
    x = 138.62

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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.