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Finding the Fourth Proportional to 490.66, 735.96 and 178.34

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Solution

The fourth proportional to 490.66, 735.96 and 178.34 is: 267.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.66 : 735.96 = 178.34 : x
  2. Step 2: Convert to fraction form
    490.66/735.96 = 178.34/x
  3. Step 3: Cross multiply
    490.66x = 735.96 × 178.34
  4. Step 4: Simplify right side
    490.66x = 131,251.11
  5. Step 5: Solve for x
    x = 131,251.11/490.66
  6. Step 6: Final answer
    x = 267.50

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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.