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Finding the Fourth Proportional to 318.65, 478.26 and 181.82

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Solution

The fourth proportional to 318.65, 478.26 and 181.82 is: 272.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.65 : 478.26 = 181.82 : x
  2. Step 2: Convert to fraction form
    318.65/478.26 = 181.82/x
  3. Step 3: Cross multiply
    318.65x = 478.26 × 181.82
  4. Step 4: Simplify right side
    318.65x = 86,954.84
  5. Step 5: Solve for x
    x = 86,954.84/318.65
  6. Step 6: Final answer
    x = 272.89

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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.