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Finding the Fourth Proportional to 317.54, 438.18 and 193.22

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Solution

The fourth proportional to 317.54, 438.18 and 193.22 is: 266.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.54 : 438.18 = 193.22 : x
  2. Step 2: Convert to fraction form
    317.54/438.18 = 193.22/x
  3. Step 3: Cross multiply
    317.54x = 438.18 × 193.22
  4. Step 4: Simplify right side
    317.54x = 84,665.14
  5. Step 5: Solve for x
    x = 84,665.14/317.54
  6. Step 6: Final answer
    x = 266.63

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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.