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Finding the Fourth Proportional to 314.76, 434.38 and 190.39

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Solution

The fourth proportional to 314.76, 434.38 and 190.39 is: 262.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.76 : 434.38 = 190.39 : x
  2. Step 2: Convert to fraction form
    314.76/434.38 = 190.39/x
  3. Step 3: Cross multiply
    314.76x = 434.38 × 190.39
  4. Step 4: Simplify right side
    314.76x = 82,701.74
  5. Step 5: Solve for x
    x = 82,701.74/314.76
  6. Step 6: Final answer
    x = 262.75

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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.