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Finding the Fourth Proportional to 267.95, 401.04 and 181.08

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Solution

The fourth proportional to 267.95, 401.04 and 181.08 is: 271.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.95 : 401.04 = 181.08 : x
  2. Step 2: Convert to fraction form
    267.95/401.04 = 181.08/x
  3. Step 3: Cross multiply
    267.95x = 401.04 × 181.08
  4. Step 4: Simplify right side
    267.95x = 72,620.32
  5. Step 5: Solve for x
    x = 72,620.32/267.95
  6. Step 6: Final answer
    x = 271.02

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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.