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Finding the Fourth Proportional to 489.96, 735.04 and 165.31

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Solution

The fourth proportional to 489.96, 735.04 and 165.31 is: 248.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.96 : 735.04 = 165.31 : x
  2. Step 2: Convert to fraction form
    489.96/735.04 = 165.31/x
  3. Step 3: Cross multiply
    489.96x = 735.04 × 165.31
  4. Step 4: Simplify right side
    489.96x = 121,511.71
  5. Step 5: Solve for x
    x = 121,511.71/489.96
  6. Step 6: Final answer
    x = 248.01

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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.