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Finding the Fourth Proportional to 302.96, 454.32 and 129.64

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Solution

The fourth proportional to 302.96, 454.32 and 129.64 is: 194.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.96 : 454.32 = 129.64 : x
  2. Step 2: Convert to fraction form
    302.96/454.32 = 129.64/x
  3. Step 3: Cross multiply
    302.96x = 454.32 × 129.64
  4. Step 4: Simplify right side
    302.96x = 58,898.04
  5. Step 5: Solve for x
    x = 58,898.04/302.96
  6. Step 6: Final answer
    x = 194.41

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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.