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Finding the Fourth Proportional to 422.37, 633.55 and 178.76

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Solution

The fourth proportional to 422.37, 633.55 and 178.76 is: 268.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.37 : 633.55 = 178.76 : x
  2. Step 2: Convert to fraction form
    422.37/633.55 = 178.76/x
  3. Step 3: Cross multiply
    422.37x = 633.55 × 178.76
  4. Step 4: Simplify right side
    422.37x = 113,254.35
  5. Step 5: Solve for x
    x = 113,254.35/422.37
  6. Step 6: Final answer
    x = 268.14

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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.