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Finding the Fourth Proportional to 284.66, 427.70 and 181.99

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Solution

The fourth proportional to 284.66, 427.70 and 181.99 is: 273.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.66 : 427.70 = 181.99 : x
  2. Step 2: Convert to fraction form
    284.66/427.70 = 181.99/x
  3. Step 3: Cross multiply
    284.66x = 427.70 × 181.99
  4. Step 4: Simplify right side
    284.66x = 77,837.12
  5. Step 5: Solve for x
    x = 77,837.12/284.66
  6. Step 6: Final answer
    x = 273.44

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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.