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Finding the Fourth Proportional to 268.02, 402.12 and 105.66

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Solution

The fourth proportional to 268.02, 402.12 and 105.66 is: 158.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.02 : 402.12 = 105.66 : x
  2. Step 2: Convert to fraction form
    268.02/402.12 = 105.66/x
  3. Step 3: Cross multiply
    268.02x = 402.12 × 105.66
  4. Step 4: Simplify right side
    268.02x = 42,488.00
  5. Step 5: Solve for x
    x = 42,488.00/268.02
  6. Step 6: Final answer
    x = 158.53

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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.