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Finding the Fourth Proportional to 314.98, 434.46 and 190.43

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Solution

The fourth proportional to 314.98, 434.46 and 190.43 is: 262.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.98 : 434.46 = 190.43 : x
  2. Step 2: Convert to fraction form
    314.98/434.46 = 190.43/x
  3. Step 3: Cross multiply
    314.98x = 434.46 × 190.43
  4. Step 4: Simplify right side
    314.98x = 82,733.61
  5. Step 5: Solve for x
    x = 82,733.61/314.98
  6. Step 6: Final answer
    x = 262.66

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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.