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Finding the Fourth Proportional to 498.00, 746.99 and 132.81

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Solution

The fourth proportional to 498.00, 746.99 and 132.81 is: 199.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.00 : 746.99 = 132.81 : x
  2. Step 2: Convert to fraction form
    498.00/746.99 = 132.81/x
  3. Step 3: Cross multiply
    498.00x = 746.99 × 132.81
  4. Step 4: Simplify right side
    498.00x = 99,211.64
  5. Step 5: Solve for x
    x = 99,211.64/498.00
  6. Step 6: Final answer
    x = 199.22

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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.