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Finding the Fourth Proportional to 266.00, 399.15 and 111.91

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Solution

The fourth proportional to 266.00, 399.15 and 111.91 is: 167.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.00 : 399.15 = 111.91 : x
  2. Step 2: Convert to fraction form
    266.00/399.15 = 111.91/x
  3. Step 3: Cross multiply
    266.00x = 399.15 × 111.91
  4. Step 4: Simplify right side
    266.00x = 44,666.32
  5. Step 5: Solve for x
    x = 44,666.32/266.00
  6. Step 6: Final answer
    x = 167.92

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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.