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Finding the Fourth Proportional to 267.66, 400.95 and 176.13

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Solution

The fourth proportional to 267.66, 400.95 and 176.13 is: 263.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.66 : 400.95 = 176.13 : x
  2. Step 2: Convert to fraction form
    267.66/400.95 = 176.13/x
  3. Step 3: Cross multiply
    267.66x = 400.95 × 176.13
  4. Step 4: Simplify right side
    267.66x = 70,619.32
  5. Step 5: Solve for x
    x = 70,619.32/267.66
  6. Step 6: Final answer
    x = 263.84

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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.