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Finding the Fourth Proportional to 295.64, 443.78 and 174.12

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Solution

The fourth proportional to 295.64, 443.78 and 174.12 is: 261.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.64 : 443.78 = 174.12 : x
  2. Step 2: Convert to fraction form
    295.64/443.78 = 174.12/x
  3. Step 3: Cross multiply
    295.64x = 443.78 × 174.12
  4. Step 4: Simplify right side
    295.64x = 77,270.97
  5. Step 5: Solve for x
    x = 77,270.97/295.64
  6. Step 6: Final answer
    x = 261.37

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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.