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Finding the Fourth Proportional to 307.42, 424.10 and 196.85

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Solution

The fourth proportional to 307.42, 424.10 and 196.85 is: 271.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.42 : 424.10 = 196.85 : x
  2. Step 2: Convert to fraction form
    307.42/424.10 = 196.85/x
  3. Step 3: Cross multiply
    307.42x = 424.10 × 196.85
  4. Step 4: Simplify right side
    307.42x = 83,484.09
  5. Step 5: Solve for x
    x = 83,484.09/307.42
  6. Step 6: Final answer
    x = 271.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.