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Finding the Fourth Proportional to 342.30, 512.82 and 197.58

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Solution

The fourth proportional to 342.30, 512.82 and 197.58 is: 296.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.30 : 512.82 = 197.58 : x
  2. Step 2: Convert to fraction form
    342.30/512.82 = 197.58/x
  3. Step 3: Cross multiply
    342.30x = 512.82 × 197.58
  4. Step 4: Simplify right side
    342.30x = 101,322.98
  5. Step 5: Solve for x
    x = 101,322.98/342.30
  6. Step 6: Final answer
    x = 296.01

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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.