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Finding the Fourth Proportional to 252.98, 349.12 and 153.42

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Solution

The fourth proportional to 252.98, 349.12 and 153.42 is: 211.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.98 : 349.12 = 153.42 : x
  2. Step 2: Convert to fraction form
    252.98/349.12 = 153.42/x
  3. Step 3: Cross multiply
    252.98x = 349.12 × 153.42
  4. Step 4: Simplify right side
    252.98x = 53,561.99
  5. Step 5: Solve for x
    x = 53,561.99/252.98
  6. Step 6: Final answer
    x = 211.72

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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.