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Finding the Fourth Proportional to 314.91, 434.54 and 182.09

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Solution

The fourth proportional to 314.91, 434.54 and 182.09 is: 251.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.91 : 434.54 = 182.09 : x
  2. Step 2: Convert to fraction form
    314.91/434.54 = 182.09/x
  3. Step 3: Cross multiply
    314.91x = 434.54 × 182.09
  4. Step 4: Simplify right side
    314.91x = 79,125.39
  5. Step 5: Solve for x
    x = 79,125.39/314.91
  6. Step 6: Final answer
    x = 251.27

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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.