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Finding the Fourth Proportional to 266.00, 366.86 and 199.76

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Solution

The fourth proportional to 266.00, 366.86 and 199.76 is: 275.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.00 : 366.86 = 199.76 : x
  2. Step 2: Convert to fraction form
    266.00/366.86 = 199.76/x
  3. Step 3: Cross multiply
    266.00x = 366.86 × 199.76
  4. Step 4: Simplify right side
    266.00x = 73,281.12
  5. Step 5: Solve for x
    x = 73,281.12/266.00
  6. Step 6: Final answer
    x = 275.50

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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.