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Finding the Fourth Proportional to 302.69, 454.16 and 129.39

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Solution

The fourth proportional to 302.69, 454.16 and 129.39 is: 194.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.69 : 454.16 = 129.39 : x
  2. Step 2: Convert to fraction form
    302.69/454.16 = 129.39/x
  3. Step 3: Cross multiply
    302.69x = 454.16 × 129.39
  4. Step 4: Simplify right side
    302.69x = 58,763.12
  5. Step 5: Solve for x
    x = 58,763.12/302.69
  6. Step 6: Final answer
    x = 194.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.