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Finding the Fourth Proportional to 268.40, 402.54 and 106.00

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Solution

The fourth proportional to 268.40, 402.54 and 106.00 is: 158.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.40 : 402.54 = 106.00 : x
  2. Step 2: Convert to fraction form
    268.40/402.54 = 106.00/x
  3. Step 3: Cross multiply
    268.40x = 402.54 × 106.00
  4. Step 4: Simplify right side
    268.40x = 42,667.84
  5. Step 5: Solve for x
    x = 42,667.84/268.40
  6. Step 6: Final answer
    x = 158.97

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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.