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Finding the Fourth Proportional to 217.25, 325.79 and 101.67

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Solution

The fourth proportional to 217.25, 325.79 and 101.67 is: 152.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.25 : 325.79 = 101.67 : x
  2. Step 2: Convert to fraction form
    217.25/325.79 = 101.67/x
  3. Step 3: Cross multiply
    217.25x = 325.79 × 101.67
  4. Step 4: Simplify right side
    217.25x = 33,123.07
  5. Step 5: Solve for x
    x = 33,123.07/217.25
  6. Step 6: Final answer
    x = 152.47

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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.