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Finding the Fourth Proportional to 210.68, 316.33 and 129.86

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Solution

The fourth proportional to 210.68, 316.33 and 129.86 is: 194.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.68 : 316.33 = 129.86 : x
  2. Step 2: Convert to fraction form
    210.68/316.33 = 129.86/x
  3. Step 3: Cross multiply
    210.68x = 316.33 × 129.86
  4. Step 4: Simplify right side
    210.68x = 41,078.61
  5. Step 5: Solve for x
    x = 41,078.61/210.68
  6. Step 6: Final answer
    x = 194.98

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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.