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Finding the Fourth Proportional to 235.49, 325.12 and 209.54

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Solution

The fourth proportional to 235.49, 325.12 and 209.54 is: 289.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.49 : 325.12 = 209.54 : x
  2. Step 2: Convert to fraction form
    235.49/325.12 = 209.54/x
  3. Step 3: Cross multiply
    235.49x = 325.12 × 209.54
  4. Step 4: Simplify right side
    235.49x = 68,125.64
  5. Step 5: Solve for x
    x = 68,125.64/235.49
  6. Step 6: Final answer
    x = 289.29

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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.