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Finding the Fourth Proportional to 553.82, 830.68 and 142.96

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Solution

The fourth proportional to 553.82, 830.68 and 142.96 is: 214.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.82 : 830.68 = 142.96 : x
  2. Step 2: Convert to fraction form
    553.82/830.68 = 142.96/x
  3. Step 3: Cross multiply
    553.82x = 830.68 × 142.96
  4. Step 4: Simplify right side
    553.82x = 118,754.01
  5. Step 5: Solve for x
    x = 118,754.01/553.82
  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.