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Finding the Fourth Proportional to 217.42, 297.88 and 209.54

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Solution

The fourth proportional to 217.42, 297.88 and 209.54 is: 287.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.42 : 297.88 = 209.54 : x
  2. Step 2: Convert to fraction form
    217.42/297.88 = 209.54/x
  3. Step 3: Cross multiply
    217.42x = 297.88 × 209.54
  4. Step 4: Simplify right side
    217.42x = 62,417.78
  5. Step 5: Solve for x
    x = 62,417.78/217.42
  6. Step 6: Final answer
    x = 287.08

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.