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Finding the Fourth Proportional to 302.24, 452.84 and 107.12

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Solution

The fourth proportional to 302.24, 452.84 and 107.12 is: 160.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.24 : 452.84 = 107.12 : x
  2. Step 2: Convert to fraction form
    302.24/452.84 = 107.12/x
  3. Step 3: Cross multiply
    302.24x = 452.84 × 107.12
  4. Step 4: Simplify right side
    302.24x = 48,508.22
  5. Step 5: Solve for x
    x = 48,508.22/302.24
  6. Step 6: Final answer
    x = 160.50

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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.