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Finding the Fourth Proportional to 294.71, 442.06 and 112.05

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Solution

The fourth proportional to 294.71, 442.06 and 112.05 is: 168.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.71 : 442.06 = 112.05 : x
  2. Step 2: Convert to fraction form
    294.71/442.06 = 112.05/x
  3. Step 3: Cross multiply
    294.71x = 442.06 × 112.05
  4. Step 4: Simplify right side
    294.71x = 49,532.54
  5. Step 5: Solve for x
    x = 49,532.54/294.71
  6. Step 6: Final answer
    x = 168.08

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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.