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Finding the Fourth Proportional to 262.46, 392.96 and 246.22

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Solution

The fourth proportional to 262.46, 392.96 and 246.22 is: 368.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.46 : 392.96 = 246.22 : x
  2. Step 2: Convert to fraction form
    262.46/392.96 = 246.22/x
  3. Step 3: Cross multiply
    262.46x = 392.96 × 246.22
  4. Step 4: Simplify right side
    262.46x = 96,754.24
  5. Step 5: Solve for x
    x = 96,754.24/262.46
  6. Step 6: Final answer
    x = 368.65

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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.