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Finding the Fourth Proportional to 262.17, 361.78 and 148.59

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Solution

The fourth proportional to 262.17, 361.78 and 148.59 is: 205.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.17 : 361.78 = 148.59 : x
  2. Step 2: Convert to fraction form
    262.17/361.78 = 148.59/x
  3. Step 3: Cross multiply
    262.17x = 361.78 × 148.59
  4. Step 4: Simplify right side
    262.17x = 53,756.89
  5. Step 5: Solve for x
    x = 53,756.89/262.17
  6. Step 6: Final answer
    x = 205.05

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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.