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Finding the Fourth Proportional to 264.09, 395.98 and 110.13

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Solution

The fourth proportional to 264.09, 395.98 and 110.13 is: 165.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.09 : 395.98 = 110.13 : x
  2. Step 2: Convert to fraction form
    264.09/395.98 = 110.13/x
  3. Step 3: Cross multiply
    264.09x = 395.98 × 110.13
  4. Step 4: Simplify right side
    264.09x = 43,609.28
  5. Step 5: Solve for x
    x = 43,609.28/264.09
  6. Step 6: Final answer
    x = 165.13

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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.