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Finding the Fourth Proportional to 252.02, 347.73 and 158.79

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Solution

The fourth proportional to 252.02, 347.73 and 158.79 is: 219.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.02 : 347.73 = 158.79 : x
  2. Step 2: Convert to fraction form
    252.02/347.73 = 158.79/x
  3. Step 3: Cross multiply
    252.02x = 347.73 × 158.79
  4. Step 4: Simplify right side
    252.02x = 55,216.05
  5. Step 5: Solve for x
    x = 55,216.05/252.02
  6. Step 6: Final answer
    x = 219.09

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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.