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Finding the Fourth Proportional to 261.87, 361.04 and 202.94

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Solution

The fourth proportional to 261.87, 361.04 and 202.94 is: 279.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.87 : 361.04 = 202.94 : x
  2. Step 2: Convert to fraction form
    261.87/361.04 = 202.94/x
  3. Step 3: Cross multiply
    261.87x = 361.04 × 202.94
  4. Step 4: Simplify right side
    261.87x = 73,267.99
  5. Step 5: Solve for x
    x = 73,267.99/261.87
  6. Step 6: Final answer
    x = 279.79

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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.