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Finding the Fourth Proportional to 165.87, 247.57 and 163.04

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Solution

The fourth proportional to 165.87, 247.57 and 163.04 is: 243.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.87 : 247.57 = 163.04 : x
  2. Step 2: Convert to fraction form
    165.87/247.57 = 163.04/x
  3. Step 3: Cross multiply
    165.87x = 247.57 × 163.04
  4. Step 4: Simplify right side
    165.87x = 40,362.17
  5. Step 5: Solve for x
    x = 40,362.17/165.87
  6. Step 6: Final answer
    x = 243.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.