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Finding the Fourth Proportional to 374.66, 561.16 and 181.88

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Solution

The fourth proportional to 374.66, 561.16 and 181.88 is: 272.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.66 : 561.16 = 181.88 : x
  2. Step 2: Convert to fraction form
    374.66/561.16 = 181.88/x
  3. Step 3: Cross multiply
    374.66x = 561.16 × 181.88
  4. Step 4: Simplify right side
    374.66x = 102,063.78
  5. Step 5: Solve for x
    x = 102,063.78/374.66
  6. Step 6: Final answer
    x = 272.42

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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.