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Finding the Fourth Proportional to 317.83, 438.50 and 193.46

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Solution

The fourth proportional to 317.83, 438.50 and 193.46 is: 266.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.83 : 438.50 = 193.46 : x
  2. Step 2: Convert to fraction form
    317.83/438.50 = 193.46/x
  3. Step 3: Cross multiply
    317.83x = 438.50 × 193.46
  4. Step 4: Simplify right side
    317.83x = 84,832.21
  5. Step 5: Solve for x
    x = 84,832.21/317.83
  6. Step 6: Final answer
    x = 266.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.