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Finding the Fourth Proportional to 302.39, 453.27 and 129.14

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Solution

The fourth proportional to 302.39, 453.27 and 129.14 is: 193.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.39 : 453.27 = 129.14 : x
  2. Step 2: Convert to fraction form
    302.39/453.27 = 129.14/x
  3. Step 3: Cross multiply
    302.39x = 453.27 × 129.14
  4. Step 4: Simplify right side
    302.39x = 58,535.29
  5. Step 5: Solve for x
    x = 58,535.29/302.39
  6. Step 6: Final answer
    x = 193.58

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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.