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Finding the Fourth Proportional to 239.78, 330.82 and 165.98

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Solution

The fourth proportional to 239.78, 330.82 and 165.98 is: 229.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.78 : 330.82 = 165.98 : x
  2. Step 2: Convert to fraction form
    239.78/330.82 = 165.98/x
  3. Step 3: Cross multiply
    239.78x = 330.82 × 165.98
  4. Step 4: Simplify right side
    239.78x = 54,909.50
  5. Step 5: Solve for x
    x = 54,909.50/239.78
  6. Step 6: Final answer
    x = 229.00

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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.