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Finding the Fourth Proportional to 212.10, 317.97 and 173.58

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Solution

The fourth proportional to 212.10, 317.97 and 173.58 is: 260.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.10 : 317.97 = 173.58 : x
  2. Step 2: Convert to fraction form
    212.10/317.97 = 173.58/x
  3. Step 3: Cross multiply
    212.10x = 317.97 × 173.58
  4. Step 4: Simplify right side
    212.10x = 55,193.23
  5. Step 5: Solve for x
    x = 55,193.23/212.10
  6. Step 6: Final answer
    x = 260.22

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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.