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Finding the Fourth Proportional to 267.76, 401.34 and 152.08

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Solution

The fourth proportional to 267.76, 401.34 and 152.08 is: 227.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.76 : 401.34 = 152.08 : x
  2. Step 2: Convert to fraction form
    267.76/401.34 = 152.08/x
  3. Step 3: Cross multiply
    267.76x = 401.34 × 152.08
  4. Step 4: Simplify right side
    267.76x = 61,035.79
  5. Step 5: Solve for x
    x = 61,035.79/267.76
  6. Step 6: Final answer
    x = 227.95

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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.