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Finding the Fourth Proportional to 213.21, 293.96 and 147.74

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Solution

The fourth proportional to 213.21, 293.96 and 147.74 is: 203.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.21 : 293.96 = 147.74 : x
  2. Step 2: Convert to fraction form
    213.21/293.96 = 147.74/x
  3. Step 3: Cross multiply
    213.21x = 293.96 × 147.74
  4. Step 4: Simplify right side
    213.21x = 43,428.55
  5. Step 5: Solve for x
    x = 43,428.55/213.21
  6. Step 6: Final answer
    x = 203.69

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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.