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Finding the Fourth Proportional to 314.49, 434.04 and 190.23

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Solution

The fourth proportional to 314.49, 434.04 and 190.23 is: 262.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.49 : 434.04 = 190.23 : x
  2. Step 2: Convert to fraction form
    314.49/434.04 = 190.23/x
  3. Step 3: Cross multiply
    314.49x = 434.04 × 190.23
  4. Step 4: Simplify right side
    314.49x = 82,567.43
  5. Step 5: Solve for x
    x = 82,567.43/314.49
  6. Step 6: Final answer
    x = 262.54

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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.