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Finding the Fourth Proportional to 364.17, 502.53 and 206.80

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Solution

The fourth proportional to 364.17, 502.53 and 206.80 is: 285.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.17 : 502.53 = 206.80 : x
  2. Step 2: Convert to fraction form
    364.17/502.53 = 206.80/x
  3. Step 3: Cross multiply
    364.17x = 502.53 × 206.80
  4. Step 4: Simplify right side
    364.17x = 103,923.20
  5. Step 5: Solve for x
    x = 103,923.20/364.17
  6. Step 6: Final answer
    x = 285.37

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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.