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Finding the Fourth Proportional to 302.99, 454.47 and 180.43

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Solution

The fourth proportional to 302.99, 454.47 and 180.43 is: 270.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.99 : 454.47 = 180.43 : x
  2. Step 2: Convert to fraction form
    302.99/454.47 = 180.43/x
  3. Step 3: Cross multiply
    302.99x = 454.47 × 180.43
  4. Step 4: Simplify right side
    302.99x = 82,000.02
  5. Step 5: Solve for x
    x = 82,000.02/302.99
  6. Step 6: Final answer
    x = 270.64

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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.