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Finding the Fourth Proportional to 188.29, 284.13 and 181.51

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Solution

The fourth proportional to 188.29, 284.13 and 181.51 is: 273.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.29 : 284.13 = 181.51 : x
  2. Step 2: Convert to fraction form
    188.29/284.13 = 181.51/x
  3. Step 3: Cross multiply
    188.29x = 284.13 × 181.51
  4. Step 4: Simplify right side
    188.29x = 51,572.44
  5. Step 5: Solve for x
    x = 51,572.44/188.29
  6. Step 6: Final answer
    x = 273.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.