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Finding the Fourth Proportional to 302.86, 418.02 and 197.77

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Solution

The fourth proportional to 302.86, 418.02 and 197.77 is: 272.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.86 : 418.02 = 197.77 : x
  2. Step 2: Convert to fraction form
    302.86/418.02 = 197.77/x
  3. Step 3: Cross multiply
    302.86x = 418.02 × 197.77
  4. Step 4: Simplify right side
    302.86x = 82,668.74
  5. Step 5: Solve for x
    x = 82,668.74/302.86
  6. Step 6: Final answer
    x = 272.96

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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.