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Finding the Fourth Proportional to 355.32, 532.90 and 181.77

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Solution

The fourth proportional to 355.32, 532.90 and 181.77 is: 272.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.32 : 532.90 = 181.77 : x
  2. Step 2: Convert to fraction form
    355.32/532.90 = 181.77/x
  3. Step 3: Cross multiply
    355.32x = 532.90 × 181.77
  4. Step 4: Simplify right side
    355.32x = 96,862.44
  5. Step 5: Solve for x
    x = 96,862.44/355.32
  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.