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Finding the Fourth Proportional to 317.66, 438.20 and 193.38

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Solution

The fourth proportional to 317.66, 438.20 and 193.38 is: 266.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.66 : 438.20 = 193.38 : x
  2. Step 2: Convert to fraction form
    317.66/438.20 = 193.38/x
  3. Step 3: Cross multiply
    317.66x = 438.20 × 193.38
  4. Step 4: Simplify right side
    317.66x = 84,739.12
  5. Step 5: Solve for x
    x = 84,739.12/317.66
  6. Step 6: Final answer
    x = 266.76

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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.