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Finding the Fourth Proportional to 341.94, 512.78 and 197.76

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Solution

The fourth proportional to 341.94, 512.78 and 197.76 is: 296.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.94 : 512.78 = 197.76 : x
  2. Step 2: Convert to fraction form
    341.94/512.78 = 197.76/x
  3. Step 3: Cross multiply
    341.94x = 512.78 × 197.76
  4. Step 4: Simplify right side
    341.94x = 101,406.38
  5. Step 5: Solve for x
    x = 101,406.38/341.94
  6. Step 6: Final answer
    x = 296.56

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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.