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Finding the Fourth Proportional to 302.17, 453.24 and 96.75

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Solution

The fourth proportional to 302.17, 453.24 and 96.75 is: 145.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.17 : 453.24 = 96.75 : x
  2. Step 2: Convert to fraction form
    302.17/453.24 = 96.75/x
  3. Step 3: Cross multiply
    302.17x = 453.24 × 96.75
  4. Step 4: Simplify right side
    302.17x = 43,849.84
  5. Step 5: Solve for x
    x = 43,849.84/302.17
  6. Step 6: Final answer
    x = 145.12

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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.