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Finding the Fourth Proportional to 182.29, 251.70 and 145.39

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Solution

The fourth proportional to 182.29, 251.70 and 145.39 is: 200.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.29 : 251.70 = 145.39 : x
  2. Step 2: Convert to fraction form
    182.29/251.70 = 145.39/x
  3. Step 3: Cross multiply
    182.29x = 251.70 × 145.39
  4. Step 4: Simplify right side
    182.29x = 36,594.66
  5. Step 5: Solve for x
    x = 36,594.66/182.29
  6. Step 6: Final answer
    x = 200.75

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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.