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Finding the Fourth Proportional to 317.46, 437.87 and 193.10

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Solution

The fourth proportional to 317.46, 437.87 and 193.10 is: 266.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.46 : 437.87 = 193.10 : x
  2. Step 2: Convert to fraction form
    317.46/437.87 = 193.10/x
  3. Step 3: Cross multiply
    317.46x = 437.87 × 193.10
  4. Step 4: Simplify right side
    317.46x = 84,549.54
  5. Step 5: Solve for x
    x = 84,549.54/317.46
  6. Step 6: Final answer
    x = 266.33

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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.