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Finding the Fourth Proportional to 314.47, 434.02 and 190.14

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Solution

The fourth proportional to 314.47, 434.02 and 190.14 is: 262.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.47 : 434.02 = 190.14 : x
  2. Step 2: Convert to fraction form
    314.47/434.02 = 190.14/x
  3. Step 3: Cross multiply
    314.47x = 434.02 × 190.14
  4. Step 4: Simplify right side
    314.47x = 82,524.56
  5. Step 5: Solve for x
    x = 82,524.56/314.47
  6. Step 6: Final answer
    x = 262.42

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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.