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Finding the Fourth Proportional to 317.46, 438.06 and 197.82

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Solution

The fourth proportional to 317.46, 438.06 and 197.82 is: 272.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.46 : 438.06 = 197.82 : x
  2. Step 2: Convert to fraction form
    317.46/438.06 = 197.82/x
  3. Step 3: Cross multiply
    317.46x = 438.06 × 197.82
  4. Step 4: Simplify right side
    317.46x = 86,657.03
  5. Step 5: Solve for x
    x = 86,657.03/317.46
  6. Step 6: Final answer
    x = 272.97

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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.