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Finding the Fourth Proportional to 341.82, 512.73 and 197.64

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Solution

The fourth proportional to 341.82, 512.73 and 197.64 is: 296.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.82 : 512.73 = 197.64 : x
  2. Step 2: Convert to fraction form
    341.82/512.73 = 197.64/x
  3. Step 3: Cross multiply
    341.82x = 512.73 × 197.64
  4. Step 4: Simplify right side
    341.82x = 101,335.96
  5. Step 5: Solve for x
    x = 101,335.96/341.82
  6. Step 6: Final answer
    x = 296.46

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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.