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Finding the Fourth Proportional to 302.74, 454.14 and 83.37

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Solution

The fourth proportional to 302.74, 454.14 and 83.37 is: 125.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.74 : 454.14 = 83.37 : x
  2. Step 2: Convert to fraction form
    302.74/454.14 = 83.37/x
  3. Step 3: Cross multiply
    302.74x = 454.14 × 83.37
  4. Step 4: Simplify right side
    302.74x = 37,863.35
  5. Step 5: Solve for x
    x = 37,863.35/302.74
  6. Step 6: Final answer
    x = 125.07

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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.