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Finding the Fourth Proportional to 294.74, 442.10 and 132.23

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Solution

The fourth proportional to 294.74, 442.10 and 132.23 is: 198.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.74 : 442.10 = 132.23 : x
  2. Step 2: Convert to fraction form
    294.74/442.10 = 132.23/x
  3. Step 3: Cross multiply
    294.74x = 442.10 × 132.23
  4. Step 4: Simplify right side
    294.74x = 58,458.66
  5. Step 5: Solve for x
    x = 58,458.66/294.74
  6. Step 6: Final answer
    x = 198.34

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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.