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Finding the Fourth Proportional to 187.04, 257.19 and 181.27

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Solution

The fourth proportional to 187.04, 257.19 and 181.27 is: 249.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.04 : 257.19 = 181.27 : x
  2. Step 2: Convert to fraction form
    187.04/257.19 = 181.27/x
  3. Step 3: Cross multiply
    187.04x = 257.19 × 181.27
  4. Step 4: Simplify right side
    187.04x = 46,621.15
  5. Step 5: Solve for x
    x = 46,621.15/187.04
  6. Step 6: Final answer
    x = 249.26

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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.