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Finding the Fourth Proportional to 266.76, 399.60 and 164.10

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Solution

The fourth proportional to 266.76, 399.60 and 164.10 is: 245.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.76 : 399.60 = 164.10 : x
  2. Step 2: Convert to fraction form
    266.76/399.60 = 164.10/x
  3. Step 3: Cross multiply
    266.76x = 399.60 × 164.10
  4. Step 4: Simplify right side
    266.76x = 65,574.36
  5. Step 5: Solve for x
    x = 65,574.36/266.76
  6. Step 6: Final answer
    x = 245.82

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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.