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Finding the Fourth Proportional to 261.60, 361.44 and 255.12

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Solution

The fourth proportional to 261.60, 361.44 and 255.12 is: 352.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.60 : 361.44 = 255.12 : x
  2. Step 2: Convert to fraction form
    261.60/361.44 = 255.12/x
  3. Step 3: Cross multiply
    261.60x = 361.44 × 255.12
  4. Step 4: Simplify right side
    261.60x = 92,210.57
  5. Step 5: Solve for x
    x = 92,210.57/261.60
  6. Step 6: Final answer
    x = 352.49

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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.