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Finding the Fourth Proportional to 210.41, 315.97 and 137.41

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Solution

The fourth proportional to 210.41, 315.97 and 137.41 is: 206.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.41 : 315.97 = 137.41 : x
  2. Step 2: Convert to fraction form
    210.41/315.97 = 137.41/x
  3. Step 3: Cross multiply
    210.41x = 315.97 × 137.41
  4. Step 4: Simplify right side
    210.41x = 43,417.44
  5. Step 5: Solve for x
    x = 43,417.44/210.41
  6. Step 6: Final answer
    x = 206.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.