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Finding the Fourth Proportional to 210.23, 315.13 and 129.23

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Solution

The fourth proportional to 210.23, 315.13 and 129.23 is: 193.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.23 : 315.13 = 129.23 : x
  2. Step 2: Convert to fraction form
    210.23/315.13 = 129.23/x
  3. Step 3: Cross multiply
    210.23x = 315.13 × 129.23
  4. Step 4: Simplify right side
    210.23x = 40,724.25
  5. Step 5: Solve for x
    x = 40,724.25/210.23
  6. Step 6: Final answer
    x = 193.71

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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.