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Finding the Fourth Proportional to 302.96, 454.04 and 129.42

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Solution

The fourth proportional to 302.96, 454.04 and 129.42 is: 193.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.96 : 454.04 = 129.42 : x
  2. Step 2: Convert to fraction form
    302.96/454.04 = 129.42/x
  3. Step 3: Cross multiply
    302.96x = 454.04 × 129.42
  4. Step 4: Simplify right side
    302.96x = 58,762.18
  5. Step 5: Solve for x
    x = 58,762.18/302.96
  6. Step 6: Final answer
    x = 193.96

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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.