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Finding the Fourth Proportional to 239.76, 357.72 and 206.96

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Solution

The fourth proportional to 239.76, 357.72 and 206.96 is: 308.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.76 : 357.72 = 206.96 : x
  2. Step 2: Convert to fraction form
    239.76/357.72 = 206.96/x
  3. Step 3: Cross multiply
    239.76x = 357.72 × 206.96
  4. Step 4: Simplify right side
    239.76x = 74,031.17
  5. Step 5: Solve for x
    x = 74,031.17/239.76
  6. Step 6: Final answer
    x = 308.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.