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Finding the Fourth Proportional to 185.16, 253.85 and 182.32

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Solution

The fourth proportional to 185.16, 253.85 and 182.32 is: 249.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.16 : 253.85 = 182.32 : x
  2. Step 2: Convert to fraction form
    185.16/253.85 = 182.32/x
  3. Step 3: Cross multiply
    185.16x = 253.85 × 182.32
  4. Step 4: Simplify right side
    185.16x = 46,281.93
  5. Step 5: Solve for x
    x = 46,281.93/185.16
  6. Step 6: Final answer
    x = 249.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.