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Finding the Fourth Proportional to 497.24, 745.82 and 132.04

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Solution

The fourth proportional to 497.24, 745.82 and 132.04 is: 198.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.24 : 745.82 = 132.04 : x
  2. Step 2: Convert to fraction form
    497.24/745.82 = 132.04/x
  3. Step 3: Cross multiply
    497.24x = 745.82 × 132.04
  4. Step 4: Simplify right side
    497.24x = 98,478.07
  5. Step 5: Solve for x
    x = 98,478.07/497.24
  6. Step 6: Final answer
    x = 198.05

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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.