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Finding the Fourth Proportional to 356.26, 534.02 and 226.35

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Solution

The fourth proportional to 356.26, 534.02 and 226.35 is: 339.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.26 : 534.02 = 226.35 : x
  2. Step 2: Convert to fraction form
    356.26/534.02 = 226.35/x
  3. Step 3: Cross multiply
    356.26x = 534.02 × 226.35
  4. Step 4: Simplify right side
    356.26x = 120,877.15
  5. Step 5: Solve for x
    x = 120,877.15/356.26
  6. Step 6: Final answer
    x = 339.30

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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.