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Finding the Fourth Proportional to 523.66, 785.85 and 181.66

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Solution

The fourth proportional to 523.66, 785.85 and 181.66 is: 272.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.66 : 785.85 = 181.66 : x
  2. Step 2: Convert to fraction form
    523.66/785.85 = 181.66/x
  3. Step 3: Cross multiply
    523.66x = 785.85 × 181.66
  4. Step 4: Simplify right side
    523.66x = 142,757.51
  5. Step 5: Solve for x
    x = 142,757.51/523.66
  6. Step 6: Final answer
    x = 272.61

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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.