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Finding the Fourth Proportional to 183.34, 254.71 and 181.65

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Solution

The fourth proportional to 183.34, 254.71 and 181.65 is: 252.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.34 : 254.71 = 181.65 : x
  2. Step 2: Convert to fraction form
    183.34/254.71 = 181.65/x
  3. Step 3: Cross multiply
    183.34x = 254.71 × 181.65
  4. Step 4: Simplify right side
    183.34x = 46,267.62
  5. Step 5: Solve for x
    x = 46,267.62/183.34
  6. Step 6: Final answer
    x = 252.36

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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.