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Finding the Fourth Proportional to 262.96, 392.30 and 232.20

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Solution

The fourth proportional to 262.96, 392.30 and 232.20 is: 346.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.96 : 392.30 = 232.20 : x
  2. Step 2: Convert to fraction form
    262.96/392.30 = 232.20/x
  3. Step 3: Cross multiply
    262.96x = 392.30 × 232.20
  4. Step 4: Simplify right side
    262.96x = 91,091.77
  5. Step 5: Solve for x
    x = 91,091.77/262.96
  6. Step 6: Final answer
    x = 346.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.