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Finding the Fourth Proportional to 210.09, 289.22 and 173.19

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Solution

The fourth proportional to 210.09, 289.22 and 173.19 is: 238.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.09 : 289.22 = 173.19 : x
  2. Step 2: Convert to fraction form
    210.09/289.22 = 173.19/x
  3. Step 3: Cross multiply
    210.09x = 289.22 × 173.19
  4. Step 4: Simplify right side
    210.09x = 50,089.15
  5. Step 5: Solve for x
    x = 50,089.15/210.09
  6. Step 6: Final answer
    x = 238.42

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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.