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Finding the Fourth Proportional to 217.08, 325.85 and 212.70

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Solution

The fourth proportional to 217.08, 325.85 and 212.70 is: 319.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.08 : 325.85 = 212.70 : x
  2. Step 2: Convert to fraction form
    217.08/325.85 = 212.70/x
  3. Step 3: Cross multiply
    217.08x = 325.85 × 212.70
  4. Step 4: Simplify right side
    217.08x = 69,307.23
  5. Step 5: Solve for x
    x = 69,307.23/217.08
  6. Step 6: Final answer
    x = 319.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.