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Finding the Fourth Proportional to 262.80, 359.97 and 262.08

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Solution

The fourth proportional to 262.80, 359.97 and 262.08 is: 358.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.80 : 359.97 = 262.08 : x
  2. Step 2: Convert to fraction form
    262.80/359.97 = 262.08/x
  3. Step 3: Cross multiply
    262.80x = 359.97 × 262.08
  4. Step 4: Simplify right side
    262.80x = 94,340.94
  5. Step 5: Solve for x
    x = 94,340.94/262.80
  6. Step 6: Final answer
    x = 358.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.