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Finding the Fourth Proportional to 356.26, 534.38 and 161.44

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Solution

The fourth proportional to 356.26, 534.38 and 161.44 is: 242.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.26 : 534.38 = 161.44 : x
  2. Step 2: Convert to fraction form
    356.26/534.38 = 161.44/x
  3. Step 3: Cross multiply
    356.26x = 534.38 × 161.44
  4. Step 4: Simplify right side
    356.26x = 86,270.31
  5. Step 5: Solve for x
    x = 86,270.31/356.26
  6. Step 6: Final answer
    x = 242.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.