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Finding the Fourth Proportional to 553.16, 829.73 and 142.29

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Solution

The fourth proportional to 553.16, 829.73 and 142.29 is: 213.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.16 : 829.73 = 142.29 : x
  2. Step 2: Convert to fraction form
    553.16/829.73 = 142.29/x
  3. Step 3: Cross multiply
    553.16x = 829.73 × 142.29
  4. Step 4: Simplify right side
    553.16x = 118,062.64
  5. Step 5: Solve for x
    x = 118,062.64/553.16
  6. Step 6: Final answer
    x = 213.43

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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.