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Finding the Fourth Proportional to 264.10, 396.13 and 109.98

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Solution

The fourth proportional to 264.10, 396.13 and 109.98 is: 164.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.10 : 396.13 = 109.98 : x
  2. Step 2: Convert to fraction form
    264.10/396.13 = 109.98/x
  3. Step 3: Cross multiply
    264.10x = 396.13 × 109.98
  4. Step 4: Simplify right side
    264.10x = 43,566.38
  5. Step 5: Solve for x
    x = 43,566.38/264.10
  6. Step 6: Final answer
    x = 164.96

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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.