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Finding the Fourth Proportional to 188.86, 283.61 and 181.50

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Solution

The fourth proportional to 188.86, 283.61 and 181.50 is: 272.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.86 : 283.61 = 181.50 : x
  2. Step 2: Convert to fraction form
    188.86/283.61 = 181.50/x
  3. Step 3: Cross multiply
    188.86x = 283.61 × 181.50
  4. Step 4: Simplify right side
    188.86x = 51,472.89
  5. Step 5: Solve for x
    x = 51,472.89/188.86
  6. Step 6: Final answer
    x = 272.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.