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Finding the Fourth Proportional to 261.74, 361.29 and 168.66

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Solution

The fourth proportional to 261.74, 361.29 and 168.66 is: 232.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.74 : 361.29 = 168.66 : x
  2. Step 2: Convert to fraction form
    261.74/361.29 = 168.66/x
  3. Step 3: Cross multiply
    261.74x = 361.29 × 168.66
  4. Step 4: Simplify right side
    261.74x = 60,935.17
  5. Step 5: Solve for x
    x = 60,935.17/261.74
  6. Step 6: Final answer
    x = 232.81

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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.