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Finding the Fourth Proportional to 212.35, 317.16 and 163.60

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Solution

The fourth proportional to 212.35, 317.16 and 163.60 is: 244.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.35 : 317.16 = 163.60 : x
  2. Step 2: Convert to fraction form
    212.35/317.16 = 163.60/x
  3. Step 3: Cross multiply
    212.35x = 317.16 × 163.60
  4. Step 4: Simplify right side
    212.35x = 51,887.38
  5. Step 5: Solve for x
    x = 51,887.38/212.35
  6. Step 6: Final answer
    x = 244.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.