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Finding the Fourth Proportional to 261.99, 361.09 and 237.24

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Solution

The fourth proportional to 261.99, 361.09 and 237.24 is: 326.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.99 : 361.09 = 237.24 : x
  2. Step 2: Convert to fraction form
    261.99/361.09 = 237.24/x
  3. Step 3: Cross multiply
    261.99x = 361.09 × 237.24
  4. Step 4: Simplify right side
    261.99x = 85,664.99
  5. Step 5: Solve for x
    x = 85,664.99/261.99
  6. Step 6: Final answer
    x = 326.98

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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.