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Finding the Fourth Proportional to 181.64, 272.45 and 117.38

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Solution

The fourth proportional to 181.64, 272.45 and 117.38 is: 176.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.64 : 272.45 = 117.38 : x
  2. Step 2: Convert to fraction form
    181.64/272.45 = 117.38/x
  3. Step 3: Cross multiply
    181.64x = 272.45 × 117.38
  4. Step 4: Simplify right side
    181.64x = 31,979.11
  5. Step 5: Solve for x
    x = 31,979.11/181.64
  6. Step 6: Final answer
    x = 176.06

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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.