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Finding the Fourth Proportional to 253.38, 349.16 and 186.96

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Solution

The fourth proportional to 253.38, 349.16 and 186.96 is: 257.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.38 : 349.16 = 186.96 : x
  2. Step 2: Convert to fraction form
    253.38/349.16 = 186.96/x
  3. Step 3: Cross multiply
    253.38x = 349.16 × 186.96
  4. Step 4: Simplify right side
    253.38x = 65,278.95
  5. Step 5: Solve for x
    x = 65,278.95/253.38
  6. Step 6: Final answer
    x = 257.63

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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.