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Finding the Fourth Proportional to 263.84, 364.01 and 181.01

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Solution

The fourth proportional to 263.84, 364.01 and 181.01 is: 249.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.84 : 364.01 = 181.01 : x
  2. Step 2: Convert to fraction form
    263.84/364.01 = 181.01/x
  3. Step 3: Cross multiply
    263.84x = 364.01 × 181.01
  4. Step 4: Simplify right side
    263.84x = 65,890.81
  5. Step 5: Solve for x
    x = 65,890.81/263.84
  6. Step 6: Final answer
    x = 249.74

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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.