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Finding the Fourth Proportional to 252.82, 378.82 and 228.52

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Solution

The fourth proportional to 252.82, 378.82 and 228.52 is: 342.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.82 : 378.82 = 228.52 : x
  2. Step 2: Convert to fraction form
    252.82/378.82 = 228.52/x
  3. Step 3: Cross multiply
    252.82x = 378.82 × 228.52
  4. Step 4: Simplify right side
    252.82x = 86,564.91
  5. Step 5: Solve for x
    x = 86,564.91/252.82
  6. Step 6: Final answer
    x = 342.40

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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.