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Finding the Fourth Proportional to 253.53, 349.89 and 155.34

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Solution

The fourth proportional to 253.53, 349.89 and 155.34 is: 214.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.53 : 349.89 = 155.34 : x
  2. Step 2: Convert to fraction form
    253.53/349.89 = 155.34/x
  3. Step 3: Cross multiply
    253.53x = 349.89 × 155.34
  4. Step 4: Simplify right side
    253.53x = 54,351.91
  5. Step 5: Solve for x
    x = 54,351.91/253.53
  6. Step 6: Final answer
    x = 214.38

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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.