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Finding the Fourth Proportional to 253.62, 380.58 and 181.32

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Solution

The fourth proportional to 253.62, 380.58 and 181.32 is: 272.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.62 : 380.58 = 181.32 : x
  2. Step 2: Convert to fraction form
    253.62/380.58 = 181.32/x
  3. Step 3: Cross multiply
    253.62x = 380.58 × 181.32
  4. Step 4: Simplify right side
    253.62x = 69,006.77
  5. Step 5: Solve for x
    x = 69,006.77/253.62
  6. Step 6: Final answer
    x = 272.09

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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.