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Finding the Fourth Proportional to 317.78, 438.44 and 193.50

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Solution

The fourth proportional to 317.78, 438.44 and 193.50 is: 266.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.78 : 438.44 = 193.50 : x
  2. Step 2: Convert to fraction form
    317.78/438.44 = 193.50/x
  3. Step 3: Cross multiply
    317.78x = 438.44 × 193.50
  4. Step 4: Simplify right side
    317.78x = 84,835.95
  5. Step 5: Solve for x
    x = 84,835.95/317.78
  6. Step 6: Final answer
    x = 266.97

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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.