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Finding the Fourth Proportional to 261.68, 361.26 and 178.76

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Solution

The fourth proportional to 261.68, 361.26 and 178.76 is: 246.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.68 : 361.26 = 178.76 : x
  2. Step 2: Convert to fraction form
    261.68/361.26 = 178.76/x
  3. Step 3: Cross multiply
    261.68x = 361.26 × 178.76
  4. Step 4: Simplify right side
    261.68x = 64,578.84
  5. Step 5: Solve for x
    x = 64,578.84/261.68
  6. Step 6: Final answer
    x = 246.79

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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.