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Finding the Fourth Proportional to 264.85, 366.00 and 199.24

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Solution

The fourth proportional to 264.85, 366.00 and 199.24 is: 275.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.85 : 366.00 = 199.24 : x
  2. Step 2: Convert to fraction form
    264.85/366.00 = 199.24/x
  3. Step 3: Cross multiply
    264.85x = 366.00 × 199.24
  4. Step 4: Simplify right side
    264.85x = 72,920.84
  5. Step 5: Solve for x
    x = 72,920.84/264.85
  6. Step 6: Final answer
    x = 275.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.