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Finding the Fourth Proportional to 266.66, 399.94 and 102.08

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Solution

The fourth proportional to 266.66, 399.94 and 102.08 is: 153.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.66 : 399.94 = 102.08 : x
  2. Step 2: Convert to fraction form
    266.66/399.94 = 102.08/x
  3. Step 3: Cross multiply
    266.66x = 399.94 × 102.08
  4. Step 4: Simplify right side
    266.66x = 40,824.37
  5. Step 5: Solve for x
    x = 40,824.37/266.66
  6. Step 6: Final answer
    x = 153.09

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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.