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Finding the Fourth Proportional to 262.95, 362.07 and 238.24

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Solution

The fourth proportional to 262.95, 362.07 and 238.24 is: 328.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.95 : 362.07 = 238.24 : x
  2. Step 2: Convert to fraction form
    262.95/362.07 = 238.24/x
  3. Step 3: Cross multiply
    262.95x = 362.07 × 238.24
  4. Step 4: Simplify right side
    262.95x = 86,260.01
  5. Step 5: Solve for x
    x = 86,260.01/262.95
  6. Step 6: Final answer
    x = 328.05

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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.