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Finding the Fourth Proportional to 226.00, 312.10 and 193.06

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Solution

The fourth proportional to 226.00, 312.10 and 193.06 is: 266.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.00 : 312.10 = 193.06 : x
  2. Step 2: Convert to fraction form
    226.00/312.10 = 193.06/x
  3. Step 3: Cross multiply
    226.00x = 312.10 × 193.06
  4. Step 4: Simplify right side
    226.00x = 60,255.02
  5. Step 5: Solve for x
    x = 60,255.02/226.00
  6. Step 6: Final answer
    x = 266.61

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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.