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Finding the Fourth Proportional to 302.14, 417.02 and 197.04

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Solution

The fourth proportional to 302.14, 417.02 and 197.04 is: 271.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.14 : 417.02 = 197.04 : x
  2. Step 2: Convert to fraction form
    302.14/417.02 = 197.04/x
  3. Step 3: Cross multiply
    302.14x = 417.02 × 197.04
  4. Step 4: Simplify right side
    302.14x = 82,167.85
  5. Step 5: Solve for x
    x = 82,167.85/302.14
  6. Step 6: Final answer
    x = 271.96

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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.