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Finding the Fourth Proportional to 253.14, 349.42 and 153.56

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Solution

The fourth proportional to 253.14, 349.42 and 153.56 is: 211.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.14 : 349.42 = 153.56 : x
  2. Step 2: Convert to fraction form
    253.14/349.42 = 153.56/x
  3. Step 3: Cross multiply
    253.14x = 349.42 × 153.56
  4. Step 4: Simplify right side
    253.14x = 53,654.42
  5. Step 5: Solve for x
    x = 53,654.42/253.14
  6. Step 6: Final answer
    x = 211.96

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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.