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Finding the Fourth Proportional to 261.50, 360.83 and 222.32

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Solution

The fourth proportional to 261.50, 360.83 and 222.32 is: 306.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.50 : 360.83 = 222.32 : x
  2. Step 2: Convert to fraction form
    261.50/360.83 = 222.32/x
  3. Step 3: Cross multiply
    261.50x = 360.83 × 222.32
  4. Step 4: Simplify right side
    261.50x = 80,218.48
  5. Step 5: Solve for x
    x = 80,218.48/261.50
  6. Step 6: Final answer
    x = 306.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.