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Finding the Fourth Proportional to 220.53, 330.35 and 165.77

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Solution

The fourth proportional to 220.53, 330.35 and 165.77 is: 248.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.53 : 330.35 = 165.77 : x
  2. Step 2: Convert to fraction form
    220.53/330.35 = 165.77/x
  3. Step 3: Cross multiply
    220.53x = 330.35 × 165.77
  4. Step 4: Simplify right side
    220.53x = 54,759.64
  5. Step 5: Solve for x
    x = 54,759.64/220.53
  6. Step 6: Final answer
    x = 248.31

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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.