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Finding the Fourth Proportional to 262.49, 360.10 and 245.93

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Solution

The fourth proportional to 262.49, 360.10 and 245.93 is: 337.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.49 : 360.10 = 245.93 : x
  2. Step 2: Convert to fraction form
    262.49/360.10 = 245.93/x
  3. Step 3: Cross multiply
    262.49x = 360.10 × 245.93
  4. Step 4: Simplify right side
    262.49x = 88,557.90
  5. Step 5: Solve for x
    x = 88,557.90/262.49
  6. Step 6: Final answer
    x = 337.38

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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.