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Finding the Fourth Proportional to 302.56, 453.78 and 119.77

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Solution

The fourth proportional to 302.56, 453.78 and 119.77 is: 179.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.56 : 453.78 = 119.77 : x
  2. Step 2: Convert to fraction form
    302.56/453.78 = 119.77/x
  3. Step 3: Cross multiply
    302.56x = 453.78 × 119.77
  4. Step 4: Simplify right side
    302.56x = 54,349.80
  5. Step 5: Solve for x
    x = 54,349.80/302.56
  6. Step 6: Final answer
    x = 179.63

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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.