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Finding the Fourth Proportional to 262.05, 361.64 and 145.62

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Solution

The fourth proportional to 262.05, 361.64 and 145.62 is: 200.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.05 : 361.64 = 145.62 : x
  2. Step 2: Convert to fraction form
    262.05/361.64 = 145.62/x
  3. Step 3: Cross multiply
    262.05x = 361.64 × 145.62
  4. Step 4: Simplify right side
    262.05x = 52,662.38
  5. Step 5: Solve for x
    x = 52,662.38/262.05
  6. Step 6: Final answer
    x = 200.96

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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.