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Finding the Fourth Proportional to 263.74, 364.82 and 246.01

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Solution

The fourth proportional to 263.74, 364.82 and 246.01 is: 340.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.74 : 364.82 = 246.01 : x
  2. Step 2: Convert to fraction form
    263.74/364.82 = 246.01/x
  3. Step 3: Cross multiply
    263.74x = 364.82 × 246.01
  4. Step 4: Simplify right side
    263.74x = 89,749.37
  5. Step 5: Solve for x
    x = 89,749.37/263.74
  6. Step 6: Final answer
    x = 340.29

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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.