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Finding the Fourth Proportional to 261.81, 360.80 and 226.73

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Solution

The fourth proportional to 261.81, 360.80 and 226.73 is: 312.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.81 : 360.80 = 226.73 : x
  2. Step 2: Convert to fraction form
    261.81/360.80 = 226.73/x
  3. Step 3: Cross multiply
    261.81x = 360.80 × 226.73
  4. Step 4: Simplify right side
    261.81x = 81,804.18
  5. Step 5: Solve for x
    x = 81,804.18/261.81
  6. Step 6: Final answer
    x = 312.46

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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.