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Finding the Fourth Proportional to 181.30, 272.08 and 123.64

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Solution

The fourth proportional to 181.30, 272.08 and 123.64 is: 185.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.30 : 272.08 = 123.64 : x
  2. Step 2: Convert to fraction form
    181.30/272.08 = 123.64/x
  3. Step 3: Cross multiply
    181.30x = 272.08 × 123.64
  4. Step 4: Simplify right side
    181.30x = 33,639.97
  5. Step 5: Solve for x
    x = 33,639.97/181.30
  6. Step 6: Final answer
    x = 185.55

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