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Finding the Fourth Proportional to 314.69, 434.20 and 190.35

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Solution

The fourth proportional to 314.69, 434.20 and 190.35 is: 262.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.69 : 434.20 = 190.35 : x
  2. Step 2: Convert to fraction form
    314.69/434.20 = 190.35/x
  3. Step 3: Cross multiply
    314.69x = 434.20 × 190.35
  4. Step 4: Simplify right side
    314.69x = 82,649.49
  5. Step 5: Solve for x
    x = 82,649.49/314.69
  6. Step 6: Final answer
    x = 262.64

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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.