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Finding the Fourth Proportional to 264.01, 395.63 and 181.66

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Solution

The fourth proportional to 264.01, 395.63 and 181.66 is: 272.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.01 : 395.63 = 181.66 : x
  2. Step 2: Convert to fraction form
    264.01/395.63 = 181.66/x
  3. Step 3: Cross multiply
    264.01x = 395.63 × 181.66
  4. Step 4: Simplify right side
    264.01x = 71,867.26
  5. Step 5: Solve for x
    x = 71,867.26/264.01
  6. Step 6: Final answer
    x = 272.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.