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Finding the Fourth Proportional to 268.04, 402.16 and 181.38

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Solution

The fourth proportional to 268.04, 402.16 and 181.38 is: 272.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.04 : 402.16 = 181.38 : x
  2. Step 2: Convert to fraction form
    268.04/402.16 = 181.38/x
  3. Step 3: Cross multiply
    268.04x = 402.16 × 181.38
  4. Step 4: Simplify right side
    268.04x = 72,943.78
  5. Step 5: Solve for x
    x = 72,943.78/268.04
  6. Step 6: Final answer
    x = 272.14

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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.