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Finding the Fourth Proportional to 295.22, 442.81 and 132.90

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Solution

The fourth proportional to 295.22, 442.81 and 132.90 is: 199.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.22 : 442.81 = 132.90 : x
  2. Step 2: Convert to fraction form
    295.22/442.81 = 132.90/x
  3. Step 3: Cross multiply
    295.22x = 442.81 × 132.90
  4. Step 4: Simplify right side
    295.22x = 58,848.78
  5. Step 5: Solve for x
    x = 58,848.78/295.22
  6. Step 6: Final answer
    x = 199.34

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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.