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Finding the Fourth Proportional to 268.04, 402.10 and 97

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Solution

The fourth proportional to 268.04, 402.10 and 97 is: 145.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.04 : 402.10 = 97 : x
  2. Step 2: Convert to fraction form
    268.04/402.10 = 97/x
  3. Step 3: Cross multiply
    268.04x = 402.10 × 97
  4. Step 4: Simplify right side
    268.04x = 39,003.70
  5. Step 5: Solve for x
    x = 39,003.70/268.04
  6. Step 6: Final answer
    x = 145.51

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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.