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Finding the Fourth Proportional to 497.44, 746.10 and 132.22

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Solution

The fourth proportional to 497.44, 746.10 and 132.22 is: 198.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.44 : 746.10 = 132.22 : x
  2. Step 2: Convert to fraction form
    497.44/746.10 = 132.22/x
  3. Step 3: Cross multiply
    497.44x = 746.10 × 132.22
  4. Step 4: Simplify right side
    497.44x = 98,649.34
  5. Step 5: Solve for x
    x = 98,649.34/497.44
  6. Step 6: Final answer
    x = 198.31

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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.