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Finding the Fourth Proportional to 294.88, 442.46 and 112.36

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Solution

The fourth proportional to 294.88, 442.46 and 112.36 is: 168.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.88 : 442.46 = 112.36 : x
  2. Step 2: Convert to fraction form
    294.88/442.46 = 112.36/x
  3. Step 3: Cross multiply
    294.88x = 442.46 × 112.36
  4. Step 4: Simplify right side
    294.88x = 49,714.81
  5. Step 5: Solve for x
    x = 49,714.81/294.88
  6. Step 6: Final answer
    x = 168.59

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