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Finding the Fourth Proportional to 262.00, 361.64 and 151.50

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Solution

The fourth proportional to 262.00, 361.64 and 151.50 is: 209.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.00 : 361.64 = 151.50 : x
  2. Step 2: Convert to fraction form
    262.00/361.64 = 151.50/x
  3. Step 3: Cross multiply
    262.00x = 361.64 × 151.50
  4. Step 4: Simplify right side
    262.00x = 54,788.84
  5. Step 5: Solve for x
    x = 54,788.84/262.00
  6. Step 6: Final answer
    x = 209.12

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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.