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Finding the Fourth Proportional to 295.12, 442.59 and 112.54

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Solution

The fourth proportional to 295.12, 442.59 and 112.54 is: 168.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.12 : 442.59 = 112.54 : x
  2. Step 2: Convert to fraction form
    295.12/442.59 = 112.54/x
  3. Step 3: Cross multiply
    295.12x = 442.59 × 112.54
  4. Step 4: Simplify right side
    295.12x = 49,809.08
  5. Step 5: Solve for x
    x = 49,809.08/295.12
  6. Step 6: Final answer
    x = 168.78

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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.