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Finding the Fourth Proportional to 266.45, 399.66 and 175.22

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Solution

The fourth proportional to 266.45, 399.66 and 175.22 is: 262.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.45 : 399.66 = 175.22 : x
  2. Step 2: Convert to fraction form
    266.45/399.66 = 175.22/x
  3. Step 3: Cross multiply
    266.45x = 399.66 × 175.22
  4. Step 4: Simplify right side
    266.45x = 70,028.43
  5. Step 5: Solve for x
    x = 70,028.43/266.45
  6. Step 6: Final answer
    x = 262.82

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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.