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Finding the Fourth Proportional to 264.22, 397.95 and 200.54

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Solution

The fourth proportional to 264.22, 397.95 and 200.54 is: 302.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.22 : 397.95 = 200.54 : x
  2. Step 2: Convert to fraction form
    264.22/397.95 = 200.54/x
  3. Step 3: Cross multiply
    264.22x = 397.95 × 200.54
  4. Step 4: Simplify right side
    264.22x = 79,803.89
  5. Step 5: Solve for x
    x = 79,803.89/264.22
  6. Step 6: Final answer
    x = 302.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.