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Finding the Fourth Proportional to 217.29, 299.01 and 208.08

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Solution

The fourth proportional to 217.29, 299.01 and 208.08 is: 286.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.29 : 299.01 = 208.08 : x
  2. Step 2: Convert to fraction form
    217.29/299.01 = 208.08/x
  3. Step 3: Cross multiply
    217.29x = 299.01 × 208.08
  4. Step 4: Simplify right side
    217.29x = 62,215.47
  5. Step 5: Solve for x
    x = 62,215.47/217.29
  6. Step 6: Final answer
    x = 286.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.