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Finding the Fourth Proportional to 217.42, 299.97 and 147.56

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Solution

The fourth proportional to 217.42, 299.97 and 147.56 is: 203.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.42 : 299.97 = 147.56 : x
  2. Step 2: Convert to fraction form
    217.42/299.97 = 147.56/x
  3. Step 3: Cross multiply
    217.42x = 299.97 × 147.56
  4. Step 4: Simplify right side
    217.42x = 44,262.07
  5. Step 5: Solve for x
    x = 44,262.07/217.42
  6. Step 6: Final answer
    x = 203.58

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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.