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Finding the Fourth Proportional to 422.32, 633.59 and 148.41

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Solution

The fourth proportional to 422.32, 633.59 and 148.41 is: 222.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.32 : 633.59 = 148.41 : x
  2. Step 2: Convert to fraction form
    422.32/633.59 = 148.41/x
  3. Step 3: Cross multiply
    422.32x = 633.59 × 148.41
  4. Step 4: Simplify right side
    422.32x = 94,031.09
  5. Step 5: Solve for x
    x = 94,031.09/422.32
  6. Step 6: Final answer
    x = 222.65

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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.