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Finding the Fourth Proportional to 295.01, 442.34 and 112.30

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Solution

The fourth proportional to 295.01, 442.34 and 112.30 is: 168.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.01 : 442.34 = 112.30 : x
  2. Step 2: Convert to fraction form
    295.01/442.34 = 112.30/x
  3. Step 3: Cross multiply
    295.01x = 442.34 × 112.30
  4. Step 4: Simplify right side
    295.01x = 49,672.01
  5. Step 5: Solve for x
    x = 49,672.01/295.01
  6. Step 6: Final answer
    x = 168.38

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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.