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Finding the Fourth Proportional to 266.05, 399.35 and 150.59

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Solution

The fourth proportional to 266.05, 399.35 and 150.59 is: 226.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.05 : 399.35 = 150.59 : x
  2. Step 2: Convert to fraction form
    266.05/399.35 = 150.59/x
  3. Step 3: Cross multiply
    266.05x = 399.35 × 150.59
  4. Step 4: Simplify right side
    266.05x = 60,138.12
  5. Step 5: Solve for x
    x = 60,138.12/266.05
  6. Step 6: Final answer
    x = 226.04

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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.