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Finding the Fourth Proportional to 314.89, 434.51 and 190.51

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Solution

The fourth proportional to 314.89, 434.51 and 190.51 is: 262.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.89 : 434.51 = 190.51 : x
  2. Step 2: Convert to fraction form
    314.89/434.51 = 190.51/x
  3. Step 3: Cross multiply
    314.89x = 434.51 × 190.51
  4. Step 4: Simplify right side
    314.89x = 82,778.50
  5. Step 5: Solve for x
    x = 82,778.50/314.89
  6. Step 6: Final answer
    x = 262.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.