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Finding the Fourth Proportional to 451.97, 678.23 and 178.01

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Solution

The fourth proportional to 451.97, 678.23 and 178.01 is: 267.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.97 : 678.23 = 178.01 : x
  2. Step 2: Convert to fraction form
    451.97/678.23 = 178.01/x
  3. Step 3: Cross multiply
    451.97x = 678.23 × 178.01
  4. Step 4: Simplify right side
    451.97x = 120,733.86
  5. Step 5: Solve for x
    x = 120,733.86/451.97
  6. Step 6: Final answer
    x = 267.13

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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.