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Finding the Fourth Proportional to 252.96, 379.52 and 192.66

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Solution

The fourth proportional to 252.96, 379.52 and 192.66 is: 289.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.96 : 379.52 = 192.66 : x
  2. Step 2: Convert to fraction form
    252.96/379.52 = 192.66/x
  3. Step 3: Cross multiply
    252.96x = 379.52 × 192.66
  4. Step 4: Simplify right side
    252.96x = 73,117.36
  5. Step 5: Solve for x
    x = 73,117.36/252.96
  6. Step 6: Final answer
    x = 289.05

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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.