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Finding the Fourth Proportional to 362.83, 500.71 and 197.05

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Solution

The fourth proportional to 362.83, 500.71 and 197.05 is: 271.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.83 : 500.71 = 197.05 : x
  2. Step 2: Convert to fraction form
    362.83/500.71 = 197.05/x
  3. Step 3: Cross multiply
    362.83x = 500.71 × 197.05
  4. Step 4: Simplify right side
    362.83x = 98,663.62
  5. Step 5: Solve for x
    x = 98,663.62/362.83
  6. Step 6: Final answer
    x = 271.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.