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Finding the Fourth Proportional to 532.82, 799.28 and 142.84

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Solution

The fourth proportional to 532.82, 799.28 and 142.84 is: 214.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.82 : 799.28 = 142.84 : x
  2. Step 2: Convert to fraction form
    532.82/799.28 = 142.84/x
  3. Step 3: Cross multiply
    532.82x = 799.28 × 142.84
  4. Step 4: Simplify right side
    532.82x = 114,169.16
  5. Step 5: Solve for x
    x = 114,169.16/532.82
  6. Step 6: Final answer
    x = 214.27

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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.