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Finding the Fourth Proportional to 182.04, 251.32 and 140.51

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Solution

The fourth proportional to 182.04, 251.32 and 140.51 is: 193.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.04 : 251.32 = 140.51 : x
  2. Step 2: Convert to fraction form
    182.04/251.32 = 140.51/x
  3. Step 3: Cross multiply
    182.04x = 251.32 × 140.51
  4. Step 4: Simplify right side
    182.04x = 35,312.97
  5. Step 5: Solve for x
    x = 35,312.97/182.04
  6. Step 6: Final answer
    x = 193.98

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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.