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Finding the Fourth Proportional to 341.53, 512.43 and 197.17

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Solution

The fourth proportional to 341.53, 512.43 and 197.17 is: 295.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.53 : 512.43 = 197.17 : x
  2. Step 2: Convert to fraction form
    341.53/512.43 = 197.17/x
  3. Step 3: Cross multiply
    341.53x = 512.43 × 197.17
  4. Step 4: Simplify right side
    341.53x = 101,035.82
  5. Step 5: Solve for x
    x = 101,035.82/341.53
  6. Step 6: Final answer
    x = 295.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.