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Finding the Fourth Proportional to 294.86, 442.12 and 132.44

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Solution

The fourth proportional to 294.86, 442.12 and 132.44 is: 198.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.86 : 442.12 = 132.44 : x
  2. Step 2: Convert to fraction form
    294.86/442.12 = 132.44/x
  3. Step 3: Cross multiply
    294.86x = 442.12 × 132.44
  4. Step 4: Simplify right side
    294.86x = 58,554.37
  5. Step 5: Solve for x
    x = 58,554.37/294.86
  6. Step 6: Final answer
    x = 198.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.