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Finding the Fourth Proportional to 451.34, 677.02 and 158.78

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Solution

The fourth proportional to 451.34, 677.02 and 158.78 is: 238.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.34 : 677.02 = 158.78 : x
  2. Step 2: Convert to fraction form
    451.34/677.02 = 158.78/x
  3. Step 3: Cross multiply
    451.34x = 677.02 × 158.78
  4. Step 4: Simplify right side
    451.34x = 107,494.43
  5. Step 5: Solve for x
    x = 107,494.43/451.34
  6. Step 6: Final answer
    x = 238.16

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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.