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Finding the Fourth Proportional to 364.35, 502.80 and 198.57

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Solution

The fourth proportional to 364.35, 502.80 and 198.57 is: 274.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.35 : 502.80 = 198.57 : x
  2. Step 2: Convert to fraction form
    364.35/502.80 = 198.57/x
  3. Step 3: Cross multiply
    364.35x = 502.80 × 198.57
  4. Step 4: Simplify right side
    364.35x = 99,840.86
  5. Step 5: Solve for x
    x = 99,840.86/364.35
  6. Step 6: Final answer
    x = 274.02

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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.