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Finding the Fourth Proportional to 239.54, 330.33 and 206.45

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Solution

The fourth proportional to 239.54, 330.33 and 206.45 is: 284.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.54 : 330.33 = 206.45 : x
  2. Step 2: Convert to fraction form
    239.54/330.33 = 206.45/x
  3. Step 3: Cross multiply
    239.54x = 330.33 × 206.45
  4. Step 4: Simplify right side
    239.54x = 68,196.63
  5. Step 5: Solve for x
    x = 68,196.63/239.54
  6. Step 6: Final answer
    x = 284.70

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