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Finding the Fourth Proportional to 302.85, 453.93 and 129.48

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Solution

The fourth proportional to 302.85, 453.93 and 129.48 is: 194.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.85 : 453.93 = 129.48 : x
  2. Step 2: Convert to fraction form
    302.85/453.93 = 129.48/x
  3. Step 3: Cross multiply
    302.85x = 453.93 × 129.48
  4. Step 4: Simplify right side
    302.85x = 58,774.37
  5. Step 5: Solve for x
    x = 58,774.37/302.85
  6. Step 6: Final answer
    x = 194.07

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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.