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Finding the Fourth Proportional to 165.56, 247.68 and 155.32

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Solution

The fourth proportional to 165.56, 247.68 and 155.32 is: 232.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.56 : 247.68 = 155.32 : x
  2. Step 2: Convert to fraction form
    165.56/247.68 = 155.32/x
  3. Step 3: Cross multiply
    165.56x = 247.68 × 155.32
  4. Step 4: Simplify right side
    165.56x = 38,469.66
  5. Step 5: Solve for x
    x = 38,469.66/165.56
  6. Step 6: Final answer
    x = 232.36

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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.