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Finding the Fourth Proportional to 217.64, 300.66 and 215.30

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Solution

The fourth proportional to 217.64, 300.66 and 215.30 is: 297.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.64 : 300.66 = 215.30 : x
  2. Step 2: Convert to fraction form
    217.64/300.66 = 215.30/x
  3. Step 3: Cross multiply
    217.64x = 300.66 × 215.30
  4. Step 4: Simplify right side
    217.64x = 64,732.10
  5. Step 5: Solve for x
    x = 64,732.10/217.64
  6. Step 6: Final answer
    x = 297.43

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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.