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Finding the Fourth Proportional to 552.96, 829.37 and 142.05

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Solution

The fourth proportional to 552.96, 829.37 and 142.05 is: 213.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.96 : 829.37 = 142.05 : x
  2. Step 2: Convert to fraction form
    552.96/829.37 = 142.05/x
  3. Step 3: Cross multiply
    552.96x = 829.37 × 142.05
  4. Step 4: Simplify right side
    552.96x = 117,815.47
  5. Step 5: Solve for x
    x = 117,815.47/552.96
  6. Step 6: Final answer
    x = 213.06

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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.