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Finding the Fourth Proportional to 212.09, 318.17 and 102.29

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Solution

The fourth proportional to 212.09, 318.17 and 102.29 is: 153.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.09 : 318.17 = 102.29 : x
  2. Step 2: Convert to fraction form
    212.09/318.17 = 102.29/x
  3. Step 3: Cross multiply
    212.09x = 318.17 × 102.29
  4. Step 4: Simplify right side
    212.09x = 32,545.89
  5. Step 5: Solve for x
    x = 32,545.89/212.09
  6. Step 6: Final answer
    x = 153.46

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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.