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Finding the Fourth Proportional to 532.86, 799.32 and 167.64

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Solution

The fourth proportional to 532.86, 799.32 and 167.64 is: 251.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.86 : 799.32 = 167.64 : x
  2. Step 2: Convert to fraction form
    532.86/799.32 = 167.64/x
  3. Step 3: Cross multiply
    532.86x = 799.32 × 167.64
  4. Step 4: Simplify right side
    532.86x = 133,998.00
  5. Step 5: Solve for x
    x = 133,998.00/532.86
  6. Step 6: Final answer
    x = 251.47

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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.