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Finding the Fourth Proportional to 261.87, 361.15 and 178.84

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Solution

The fourth proportional to 261.87, 361.15 and 178.84 is: 246.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.87 : 361.15 = 178.84 : x
  2. Step 2: Convert to fraction form
    261.87/361.15 = 178.84/x
  3. Step 3: Cross multiply
    261.87x = 361.15 × 178.84
  4. Step 4: Simplify right side
    261.87x = 64,588.07
  5. Step 5: Solve for x
    x = 64,588.07/261.87
  6. Step 6: Final answer
    x = 246.64

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Why These Related Problems?

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