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Finding the Fourth Proportional to 553.86, 830.72 and 142.97

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Solution

The fourth proportional to 553.86, 830.72 and 142.97 is: 214.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.86 : 830.72 = 142.97 : x
  2. Step 2: Convert to fraction form
    553.86/830.72 = 142.97/x
  3. Step 3: Cross multiply
    553.86x = 830.72 × 142.97
  4. Step 4: Simplify right side
    553.86x = 118,764.24
  5. Step 5: Solve for x
    x = 118,764.24/553.86
  6. Step 6: Final answer
    x = 214.43

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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.