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Finding the Fourth Proportional to 372.08, 513.47 and 206.31

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Solution

The fourth proportional to 372.08, 513.47 and 206.31 is: 284.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.08 : 513.47 = 206.31 : x
  2. Step 2: Convert to fraction form
    372.08/513.47 = 206.31/x
  3. Step 3: Cross multiply
    372.08x = 513.47 × 206.31
  4. Step 4: Simplify right side
    372.08x = 105,931.81
  5. Step 5: Solve for x
    x = 105,931.81/372.08
  6. Step 6: Final answer
    x = 284.71

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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.