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Finding the Fourth Proportional to 302.56, 453.87 and 86.14

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Solution

The fourth proportional to 302.56, 453.87 and 86.14 is: 129.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.56 : 453.87 = 86.14 : x
  2. Step 2: Convert to fraction form
    302.56/453.87 = 86.14/x
  3. Step 3: Cross multiply
    302.56x = 453.87 × 86.14
  4. Step 4: Simplify right side
    302.56x = 39,096.36
  5. Step 5: Solve for x
    x = 39,096.36/302.56
  6. Step 6: Final answer
    x = 129.22

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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.