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Finding the Fourth Proportional to 322.86, 484.32 and 106.44

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Solution

The fourth proportional to 322.86, 484.32 and 106.44 is: 159.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.86 : 484.32 = 106.44 : x
  2. Step 2: Convert to fraction form
    322.86/484.32 = 106.44/x
  3. Step 3: Cross multiply
    322.86x = 484.32 × 106.44
  4. Step 4: Simplify right side
    322.86x = 51,551.02
  5. Step 5: Solve for x
    x = 51,551.02/322.86
  6. Step 6: Final answer
    x = 159.67

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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.