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Finding the Fourth Proportional to 552.94, 829.43 and 142.12

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Solution

The fourth proportional to 552.94, 829.43 and 142.12 is: 213.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.94 : 829.43 = 142.12 : x
  2. Step 2: Convert to fraction form
    552.94/829.43 = 142.12/x
  3. Step 3: Cross multiply
    552.94x = 829.43 × 142.12
  4. Step 4: Simplify right side
    552.94x = 117,875.75
  5. Step 5: Solve for x
    x = 117,875.75/552.94
  6. Step 6: Final answer
    x = 213.18

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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.