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Finding the Fourth Proportional to 266.50, 399.84 and 259.84

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Solution

The fourth proportional to 266.50, 399.84 and 259.84 is: 389.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.50 : 399.84 = 259.84 : x
  2. Step 2: Convert to fraction form
    266.50/399.84 = 259.84/x
  3. Step 3: Cross multiply
    266.50x = 399.84 × 259.84
  4. Step 4: Simplify right side
    266.50x = 103,894.43
  5. Step 5: Solve for x
    x = 103,894.43/266.50
  6. Step 6: Final answer
    x = 389.85

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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.