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Finding the Fourth Proportional to 188.64, 282.72 and 181.92

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Solution

The fourth proportional to 188.64, 282.72 and 181.92 is: 272.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.64 : 282.72 = 181.92 : x
  2. Step 2: Convert to fraction form
    188.64/282.72 = 181.92/x
  3. Step 3: Cross multiply
    188.64x = 282.72 × 181.92
  4. Step 4: Simplify right side
    188.64x = 51,432.42
  5. Step 5: Solve for x
    x = 51,432.42/188.64
  6. Step 6: Final answer
    x = 272.65

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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.