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Finding the Fourth Proportional to 239.46, 330.33 and 165.84

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Solution

The fourth proportional to 239.46, 330.33 and 165.84 is: 228.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.46 : 330.33 = 165.84 : x
  2. Step 2: Convert to fraction form
    239.46/330.33 = 165.84/x
  3. Step 3: Cross multiply
    239.46x = 330.33 × 165.84
  4. Step 4: Simplify right side
    239.46x = 54,781.93
  5. Step 5: Solve for x
    x = 54,781.93/239.46
  6. Step 6: Final answer
    x = 228.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.