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Finding the Fourth Proportional to 499.47, 749.14 and 134.29

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Solution

The fourth proportional to 499.47, 749.14 and 134.29 is: 201.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.47 : 749.14 = 134.29 : x
  2. Step 2: Convert to fraction form
    499.47/749.14 = 134.29/x
  3. Step 3: Cross multiply
    499.47x = 749.14 × 134.29
  4. Step 4: Simplify right side
    499.47x = 100,602.01
  5. Step 5: Solve for x
    x = 100,602.01/499.47
  6. Step 6: Final answer
    x = 201.42

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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.