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Finding the Fourth Proportional to 315.09, 434.82 and 182.29

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Solution

The fourth proportional to 315.09, 434.82 and 182.29 is: 251.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.09 : 434.82 = 182.29 : x
  2. Step 2: Convert to fraction form
    315.09/434.82 = 182.29/x
  3. Step 3: Cross multiply
    315.09x = 434.82 × 182.29
  4. Step 4: Simplify right side
    315.09x = 79,262.43
  5. Step 5: Solve for x
    x = 79,262.43/315.09
  6. Step 6: Final answer
    x = 251.55

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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.