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Finding the Fourth Proportional to 217.17, 299.65 and 197.00

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Solution

The fourth proportional to 217.17, 299.65 and 197.00 is: 271.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.17 : 299.65 = 197.00 : x
  2. Step 2: Convert to fraction form
    217.17/299.65 = 197.00/x
  3. Step 3: Cross multiply
    217.17x = 299.65 × 197.00
  4. Step 4: Simplify right side
    217.17x = 59,031.31
  5. Step 5: Solve for x
    x = 59,031.31/217.17
  6. Step 6: Final answer
    x = 271.82

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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.