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Finding the Fourth Proportional to 226.32, 339.57 and 135.06

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Solution

The fourth proportional to 226.32, 339.57 and 135.06 is: 202.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.32 : 339.57 = 135.06 : x
  2. Step 2: Convert to fraction form
    226.32/339.57 = 135.06/x
  3. Step 3: Cross multiply
    226.32x = 339.57 × 135.06
  4. Step 4: Simplify right side
    226.32x = 45,862.32
  5. Step 5: Solve for x
    x = 45,862.32/226.32
  6. Step 6: Final answer
    x = 202.64

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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.