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Finding the Fourth Proportional to 253.23, 349.41 and 170.20

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Solution

The fourth proportional to 253.23, 349.41 and 170.20 is: 234.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.23 : 349.41 = 170.20 : x
  2. Step 2: Convert to fraction form
    253.23/349.41 = 170.20/x
  3. Step 3: Cross multiply
    253.23x = 349.41 × 170.20
  4. Step 4: Simplify right side
    253.23x = 59,470.66
  5. Step 5: Solve for x
    x = 59,470.66/253.23
  6. Step 6: Final answer
    x = 234.85

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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.