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Finding the Fourth Proportional to 322.77, 484.28 and 127.86

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Solution

The fourth proportional to 322.77, 484.28 and 127.86 is: 191.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.77 : 484.28 = 127.86 : x
  2. Step 2: Convert to fraction form
    322.77/484.28 = 127.86/x
  3. Step 3: Cross multiply
    322.77x = 484.28 × 127.86
  4. Step 4: Simplify right side
    322.77x = 61,919.40
  5. Step 5: Solve for x
    x = 61,919.40/322.77
  6. Step 6: Final answer
    x = 191.84

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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.