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Finding the Fourth Proportional to 314.84, 434.48 and 190.46

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Solution

The fourth proportional to 314.84, 434.48 and 190.46 is: 262.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.84 : 434.48 = 190.46 : x
  2. Step 2: Convert to fraction form
    314.84/434.48 = 190.46/x
  3. Step 3: Cross multiply
    314.84x = 434.48 × 190.46
  4. Step 4: Simplify right side
    314.84x = 82,747.94
  5. Step 5: Solve for x
    x = 82,747.94/314.84
  6. Step 6: Final answer
    x = 262.83

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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.