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Finding the Fourth Proportional to 302.25, 453.44 and 96.82

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Solution

The fourth proportional to 302.25, 453.44 and 96.82 is: 145.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.25 : 453.44 = 96.82 : x
  2. Step 2: Convert to fraction form
    302.25/453.44 = 96.82/x
  3. Step 3: Cross multiply
    302.25x = 453.44 × 96.82
  4. Step 4: Simplify right side
    302.25x = 43,902.06
  5. Step 5: Solve for x
    x = 43,902.06/302.25
  6. Step 6: Final answer
    x = 145.25

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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.