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Finding the Fourth Proportional to 253.11, 349.28 and 154.85

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Solution

The fourth proportional to 253.11, 349.28 and 154.85 is: 213.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.11 : 349.28 = 154.85 : x
  2. Step 2: Convert to fraction form
    253.11/349.28 = 154.85/x
  3. Step 3: Cross multiply
    253.11x = 349.28 × 154.85
  4. Step 4: Simplify right side
    253.11x = 54,083.49
  5. Step 5: Solve for x
    x = 54,083.49/253.11
  6. Step 6: Final answer
    x = 213.68

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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.