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Finding the Fourth Proportional to 262.28, 361.76 and 175.07

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Solution

The fourth proportional to 262.28, 361.76 and 175.07 is: 241.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.28 : 361.76 = 175.07 : x
  2. Step 2: Convert to fraction form
    262.28/361.76 = 175.07/x
  3. Step 3: Cross multiply
    262.28x = 361.76 × 175.07
  4. Step 4: Simplify right side
    262.28x = 63,333.35
  5. Step 5: Solve for x
    x = 63,333.35/262.28
  6. Step 6: Final answer
    x = 241.47

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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.