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Finding the Fourth Proportional to 178.90, 246.98 and 113.42

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Solution

The fourth proportional to 178.90, 246.98 and 113.42 is: 156.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.90 : 246.98 = 113.42 : x
  2. Step 2: Convert to fraction form
    178.90/246.98 = 113.42/x
  3. Step 3: Cross multiply
    178.90x = 246.98 × 113.42
  4. Step 4: Simplify right side
    178.90x = 28,013.37
  5. Step 5: Solve for x
    x = 28,013.37/178.90
  6. Step 6: Final answer
    x = 156.59

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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.