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Finding the Fourth Proportional to 262.07, 361.68 and 145.64

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Solution

The fourth proportional to 262.07, 361.68 and 145.64 is: 200.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.07 : 361.68 = 145.64 : x
  2. Step 2: Convert to fraction form
    262.07/361.68 = 145.64/x
  3. Step 3: Cross multiply
    262.07x = 361.68 × 145.64
  4. Step 4: Simplify right side
    262.07x = 52,673.27
  5. Step 5: Solve for x
    x = 52,673.27/262.07
  6. Step 6: Final answer
    x = 200.99

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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.