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Finding the Fourth Proportional to 181.32, 249.93 and 137.58

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Solution

The fourth proportional to 181.32, 249.93 and 137.58 is: 189.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.32 : 249.93 = 137.58 : x
  2. Step 2: Convert to fraction form
    181.32/249.93 = 137.58/x
  3. Step 3: Cross multiply
    181.32x = 249.93 × 137.58
  4. Step 4: Simplify right side
    181.32x = 34,385.37
  5. Step 5: Solve for x
    x = 34,385.37/181.32
  6. Step 6: Final answer
    x = 189.64

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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.