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Finding the Fourth Proportional to 239.58, 357.78 and 205.02

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Solution

The fourth proportional to 239.58, 357.78 and 205.02 is: 306.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.58 : 357.78 = 205.02 : x
  2. Step 2: Convert to fraction form
    239.58/357.78 = 205.02/x
  3. Step 3: Cross multiply
    239.58x = 357.78 × 205.02
  4. Step 4: Simplify right side
    239.58x = 73,352.06
  5. Step 5: Solve for x
    x = 73,352.06/239.58
  6. Step 6: Final answer
    x = 306.17

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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.