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Finding the Fourth Proportional to 264.05, 364.36 and 181.23

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Solution

The fourth proportional to 264.05, 364.36 and 181.23 is: 250.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.05 : 364.36 = 181.23 : x
  2. Step 2: Convert to fraction form
    264.05/364.36 = 181.23/x
  3. Step 3: Cross multiply
    264.05x = 364.36 × 181.23
  4. Step 4: Simplify right side
    264.05x = 66,031.14
  5. Step 5: Solve for x
    x = 66,031.14/264.05
  6. Step 6: Final answer
    x = 250.07

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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.