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Finding the Fourth Proportional to 302.98, 418.12 and 186.55

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Solution

The fourth proportional to 302.98, 418.12 and 186.55 is: 257.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.98 : 418.12 = 186.55 : x
  2. Step 2: Convert to fraction form
    302.98/418.12 = 186.55/x
  3. Step 3: Cross multiply
    302.98x = 418.12 × 186.55
  4. Step 4: Simplify right side
    302.98x = 78,000.29
  5. Step 5: Solve for x
    x = 78,000.29/302.98
  6. Step 6: Final answer
    x = 257.44

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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.