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Finding the Fourth Proportional to 266.77, 399.14 and 162.28

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Solution

The fourth proportional to 266.77, 399.14 and 162.28 is: 242.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.77 : 399.14 = 162.28 : x
  2. Step 2: Convert to fraction form
    266.77/399.14 = 162.28/x
  3. Step 3: Cross multiply
    266.77x = 399.14 × 162.28
  4. Step 4: Simplify right side
    266.77x = 64,769.63
  5. Step 5: Solve for x
    x = 64,769.63/266.77
  6. Step 6: Final answer
    x = 242.80

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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.