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Finding the Fourth Proportional to 302.20, 416.80 and 197.17

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Solution

The fourth proportional to 302.20, 416.80 and 197.17 is: 271.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.20 : 416.80 = 197.17 : x
  2. Step 2: Convert to fraction form
    302.20/416.80 = 197.17/x
  3. Step 3: Cross multiply
    302.20x = 416.80 × 197.17
  4. Step 4: Simplify right side
    302.20x = 82,180.46
  5. Step 5: Solve for x
    x = 82,180.46/302.20
  6. Step 6: Final answer
    x = 271.94

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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.