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Finding the Fourth Proportional to 302.65, 454.06 and 129.33

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Solution

The fourth proportional to 302.65, 454.06 and 129.33 is: 194.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.65 : 454.06 = 129.33 : x
  2. Step 2: Convert to fraction form
    302.65/454.06 = 129.33/x
  3. Step 3: Cross multiply
    302.65x = 454.06 × 129.33
  4. Step 4: Simplify right side
    302.65x = 58,723.26
  5. Step 5: Solve for x
    x = 58,723.26/302.65
  6. Step 6: Final answer
    x = 194.03

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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.