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Finding the Fourth Proportional to 302.98, 453.84 and 181.18

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Solution

The fourth proportional to 302.98, 453.84 and 181.18 is: 271.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.98 : 453.84 = 181.18 : x
  2. Step 2: Convert to fraction form
    302.98/453.84 = 181.18/x
  3. Step 3: Cross multiply
    302.98x = 453.84 × 181.18
  4. Step 4: Simplify right side
    302.98x = 82,224.69
  5. Step 5: Solve for x
    x = 82,224.69/302.98
  6. Step 6: Final answer
    x = 271.39

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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.