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Finding the Fourth Proportional to 217.25, 299.76 and 147.32

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Solution

The fourth proportional to 217.25, 299.76 and 147.32 is: 203.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.25 : 299.76 = 147.32 : x
  2. Step 2: Convert to fraction form
    217.25/299.76 = 147.32/x
  3. Step 3: Cross multiply
    217.25x = 299.76 × 147.32
  4. Step 4: Simplify right side
    217.25x = 44,160.64
  5. Step 5: Solve for x
    x = 44,160.64/217.25
  6. Step 6: Final answer
    x = 203.27

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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.