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Finding the Fourth Proportional to 264.28, 364.43 and 181.39

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Solution

The fourth proportional to 264.28, 364.43 and 181.39 is: 250.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.28 : 364.43 = 181.39 : x
  2. Step 2: Convert to fraction form
    264.28/364.43 = 181.39/x
  3. Step 3: Cross multiply
    264.28x = 364.43 × 181.39
  4. Step 4: Simplify right side
    264.28x = 66,102.14
  5. Step 5: Solve for x
    x = 66,102.14/264.28
  6. Step 6: Final answer
    x = 250.13

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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.