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Finding the Fourth Proportional to 314.80, 434.36 and 190.40

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Solution

The fourth proportional to 314.80, 434.36 and 190.40 is: 262.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.80 : 434.36 = 190.40 : x
  2. Step 2: Convert to fraction form
    314.80/434.36 = 190.40/x
  3. Step 3: Cross multiply
    314.80x = 434.36 × 190.40
  4. Step 4: Simplify right side
    314.80x = 82,702.14
  5. Step 5: Solve for x
    x = 82,702.14/314.80
  6. Step 6: Final answer
    x = 262.71

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Why These Related Problems?

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