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Finding the Fourth Proportional to 185.88, 253.20 and 182.28

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Solution

The fourth proportional to 185.88, 253.20 and 182.28 is: 248.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.88 : 253.20 = 182.28 : x
  2. Step 2: Convert to fraction form
    185.88/253.20 = 182.28/x
  3. Step 3: Cross multiply
    185.88x = 253.20 × 182.28
  4. Step 4: Simplify right side
    185.88x = 46,153.30
  5. Step 5: Solve for x
    x = 46,153.30/185.88
  6. Step 6: Final answer
    x = 248.30

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.