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Finding the Fourth Proportional to 262.83, 364.58 and 248.99

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Solution

The fourth proportional to 262.83, 364.58 and 248.99 is: 345.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.83 : 364.58 = 248.99 : x
  2. Step 2: Convert to fraction form
    262.83/364.58 = 248.99/x
  3. Step 3: Cross multiply
    262.83x = 364.58 × 248.99
  4. Step 4: Simplify right side
    262.83x = 90,776.77
  5. Step 5: Solve for x
    x = 90,776.77/262.83
  6. Step 6: Final answer
    x = 345.38

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.