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Finding the Fourth Proportional to 317.70, 438.39 and 193.37

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Solution

The fourth proportional to 317.70, 438.39 and 193.37 is: 266.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.70 : 438.39 = 193.37 : x
  2. Step 2: Convert to fraction form
    317.70/438.39 = 193.37/x
  3. Step 3: Cross multiply
    317.70x = 438.39 × 193.37
  4. Step 4: Simplify right side
    317.70x = 84,769.28
  5. Step 5: Solve for x
    x = 84,769.28/317.70
  6. Step 6: Final answer
    x = 266.82

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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.