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Finding the Fourth Proportional to 268.12, 401.94 and 97.08

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Solution

The fourth proportional to 268.12, 401.94 and 97.08 is: 145.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.12 : 401.94 = 97.08 : x
  2. Step 2: Convert to fraction form
    268.12/401.94 = 97.08/x
  3. Step 3: Cross multiply
    268.12x = 401.94 × 97.08
  4. Step 4: Simplify right side
    268.12x = 39,020.34
  5. Step 5: Solve for x
    x = 39,020.34/268.12
  6. Step 6: Final answer
    x = 145.53

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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.