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Finding the Fourth Proportional to 181.51, 249.89 and 156.80

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Solution

The fourth proportional to 181.51, 249.89 and 156.80 is: 215.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.51 : 249.89 = 156.80 : x
  2. Step 2: Convert to fraction form
    181.51/249.89 = 156.80/x
  3. Step 3: Cross multiply
    181.51x = 249.89 × 156.80
  4. Step 4: Simplify right side
    181.51x = 39,182.59
  5. Step 5: Solve for x
    x = 39,182.59/181.51
  6. Step 6: Final answer
    x = 215.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.