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Finding the Fourth Proportional to 261.76, 361.28 and 193.28

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Solution

The fourth proportional to 261.76, 361.28 and 193.28 is: 266.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.76 : 361.28 = 193.28 : x
  2. Step 2: Convert to fraction form
    261.76/361.28 = 193.28/x
  3. Step 3: Cross multiply
    261.76x = 361.28 × 193.28
  4. Step 4: Simplify right side
    261.76x = 69,828.20
  5. Step 5: Solve for x
    x = 69,828.20/261.76
  6. Step 6: Final answer
    x = 266.76

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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.