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Finding the Fourth Proportional to 342.21, 512.91 and 197.63

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Solution

The fourth proportional to 342.21, 512.91 and 197.63 is: 296.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.21 : 512.91 = 197.63 : x
  2. Step 2: Convert to fraction form
    342.21/512.91 = 197.63/x
  3. Step 3: Cross multiply
    342.21x = 512.91 × 197.63
  4. Step 4: Simplify right side
    342.21x = 101,366.40
  5. Step 5: Solve for x
    x = 101,366.40/342.21
  6. Step 6: Final answer
    x = 296.21

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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.