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Finding the Fourth Proportional to 262.11, 361.64 and 150.08

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Solution

The fourth proportional to 262.11, 361.64 and 150.08 is: 207.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.11 : 361.64 = 150.08 : x
  2. Step 2: Convert to fraction form
    262.11/361.64 = 150.08/x
  3. Step 3: Cross multiply
    262.11x = 361.64 × 150.08
  4. Step 4: Simplify right side
    262.11x = 54,274.93
  5. Step 5: Solve for x
    x = 54,274.93/262.11
  6. Step 6: Final answer
    x = 207.07

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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.