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Finding the Fourth Proportional to 302.35, 416.97 and 197.33

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Solution

The fourth proportional to 302.35, 416.97 and 197.33 is: 272.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.35 : 416.97 = 197.33 : x
  2. Step 2: Convert to fraction form
    302.35/416.97 = 197.33/x
  3. Step 3: Cross multiply
    302.35x = 416.97 × 197.33
  4. Step 4: Simplify right side
    302.35x = 82,280.69
  5. Step 5: Solve for x
    x = 82,280.69/302.35
  6. Step 6: Final answer
    x = 272.14

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Why These Related Problems?

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