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Finding the Fourth Proportional to 264.18, 396.61 and 203.36

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Solution

The fourth proportional to 264.18, 396.61 and 203.36 is: 305.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.18 : 396.61 = 203.36 : x
  2. Step 2: Convert to fraction form
    264.18/396.61 = 203.36/x
  3. Step 3: Cross multiply
    264.18x = 396.61 × 203.36
  4. Step 4: Simplify right side
    264.18x = 80,653.26
  5. Step 5: Solve for x
    x = 80,653.26/264.18
  6. Step 6: Final answer
    x = 305.29

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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.