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Finding the Fourth Proportional to 314.52, 434.10 and 190.26

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Solution

The fourth proportional to 314.52, 434.10 and 190.26 is: 262.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.52 : 434.10 = 190.26 : x
  2. Step 2: Convert to fraction form
    314.52/434.10 = 190.26/x
  3. Step 3: Cross multiply
    314.52x = 434.10 × 190.26
  4. Step 4: Simplify right side
    314.52x = 82,591.87
  5. Step 5: Solve for x
    x = 82,591.87/314.52
  6. Step 6: Final answer
    x = 262.60

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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.