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Finding the Fourth Proportional to 217.22, 299.62 and 150.72

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Solution

The fourth proportional to 217.22, 299.62 and 150.72 is: 207.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.22 : 299.62 = 150.72 : x
  2. Step 2: Convert to fraction form
    217.22/299.62 = 150.72/x
  3. Step 3: Cross multiply
    217.22x = 299.62 × 150.72
  4. Step 4: Simplify right side
    217.22x = 45,160.32
  5. Step 5: Solve for x
    x = 45,160.32/217.22
  6. Step 6: Final answer
    x = 207.90

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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.