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Finding the Fourth Proportional to 182.57, 253.69 and 180.69

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Solution

The fourth proportional to 182.57, 253.69 and 180.69 is: 251.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.57 : 253.69 = 180.69 : x
  2. Step 2: Convert to fraction form
    182.57/253.69 = 180.69/x
  3. Step 3: Cross multiply
    182.57x = 253.69 × 180.69
  4. Step 4: Simplify right side
    182.57x = 45,839.25
  5. Step 5: Solve for x
    x = 45,839.25/182.57
  6. Step 6: Final answer
    x = 251.08

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.