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Finding the Fourth Proportional to 364.14, 502.50 and 198.35

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Solution

The fourth proportional to 364.14, 502.50 and 198.35 is: 273.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.14 : 502.50 = 198.35 : x
  2. Step 2: Convert to fraction form
    364.14/502.50 = 198.35/x
  3. Step 3: Cross multiply
    364.14x = 502.50 × 198.35
  4. Step 4: Simplify right side
    364.14x = 99,670.88
  5. Step 5: Solve for x
    x = 99,670.88/364.14
  6. Step 6: Final answer
    x = 273.72

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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.