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Finding the Fourth Proportional to 262.46, 393.66 and 116.15

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Solution

The fourth proportional to 262.46, 393.66 and 116.15 is: 174.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.46 : 393.66 = 116.15 : x
  2. Step 2: Convert to fraction form
    262.46/393.66 = 116.15/x
  3. Step 3: Cross multiply
    262.46x = 393.66 × 116.15
  4. Step 4: Simplify right side
    262.46x = 45,721.64
  5. Step 5: Solve for x
    x = 45,721.64/262.46
  6. Step 6: Final answer
    x = 174.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.