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Finding the Fourth Proportional to 364.47, 502.96 and 198.68

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Solution

The fourth proportional to 364.47, 502.96 and 198.68 is: 274.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.47 : 502.96 = 198.68 : x
  2. Step 2: Convert to fraction form
    364.47/502.96 = 198.68/x
  3. Step 3: Cross multiply
    364.47x = 502.96 × 198.68
  4. Step 4: Simplify right side
    364.47x = 99,928.09
  5. Step 5: Solve for x
    x = 99,928.09/364.47
  6. Step 6: Final answer
    x = 274.17

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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.