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Finding the Fourth Proportional to 296, 443.37 and 174.05

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Solution

The fourth proportional to 296, 443.37 and 174.05 is: 260.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    296 : 443.37 = 174.05 : x
  2. Step 2: Convert to fraction form
    296/443.37 = 174.05/x
  3. Step 3: Cross multiply
    296x = 443.37 × 174.05
  4. Step 4: Simplify right side
    296x = 77,168.55
  5. Step 5: Solve for x
    x = 77,168.55/296
  6. Step 6: Final answer
    x = 260.70

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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.