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Finding the Fourth Proportional to 314.26, 471.86 and 193.03

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Solution

The fourth proportional to 314.26, 471.86 and 193.03 is: 289.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.26 : 471.86 = 193.03 : x
  2. Step 2: Convert to fraction form
    314.26/471.86 = 193.03/x
  3. Step 3: Cross multiply
    314.26x = 471.86 × 193.03
  4. Step 4: Simplify right side
    314.26x = 91,083.14
  5. Step 5: Solve for x
    x = 91,083.14/314.26
  6. Step 6: Final answer
    x = 289.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.