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Finding the Fourth Proportional to 235.30, 350.89 and 206.54

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Solution

The fourth proportional to 235.30, 350.89 and 206.54 is: 308.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.30 : 350.89 = 206.54 : x
  2. Step 2: Convert to fraction form
    235.30/350.89 = 206.54/x
  3. Step 3: Cross multiply
    235.30x = 350.89 × 206.54
  4. Step 4: Simplify right side
    235.30x = 72,472.82
  5. Step 5: Solve for x
    x = 72,472.82/235.30
  6. Step 6: Final answer
    x = 308.00

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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.