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Finding the Fourth Proportional to 266.77, 400.49 and 175.64

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Solution

The fourth proportional to 266.77, 400.49 and 175.64 is: 263.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.77 : 400.49 = 175.64 : x
  2. Step 2: Convert to fraction form
    266.77/400.49 = 175.64/x
  3. Step 3: Cross multiply
    266.77x = 400.49 × 175.64
  4. Step 4: Simplify right side
    266.77x = 70,344.21
  5. Step 5: Solve for x
    x = 70,344.21/266.77
  6. Step 6: Final answer
    x = 263.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.