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Finding the Fourth Proportional to 295.27, 442.96 and 112.55

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Solution

The fourth proportional to 295.27, 442.96 and 112.55 is: 168.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.27 : 442.96 = 112.55 : x
  2. Step 2: Convert to fraction form
    295.27/442.96 = 112.55/x
  3. Step 3: Cross multiply
    295.27x = 442.96 × 112.55
  4. Step 4: Simplify right side
    295.27x = 49,852.65
  5. Step 5: Solve for x
    x = 49,852.65/295.27
  6. Step 6: Final answer
    x = 168.84

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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.