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Finding the Fourth Proportional to 268, 402.14 and 154

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Solution

The fourth proportional to 268, 402.14 and 154 is: 231.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    268 : 402.14 = 154 : x
  2. Step 2: Convert to fraction form
    268/402.14 = 154/x
  3. Step 3: Cross multiply
    268x = 402.14 × 154
  4. Step 4: Simplify right side
    268x = 61,929.56
  5. Step 5: Solve for x
    x = 61,929.56/268
  6. Step 6: Final answer
    x = 231.08

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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.