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Finding the Fourth Proportional to 263.24, 362.94 and 228.14

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Solution

The fourth proportional to 263.24, 362.94 and 228.14 is: 314.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.24 : 362.94 = 228.14 : x
  2. Step 2: Convert to fraction form
    263.24/362.94 = 228.14/x
  3. Step 3: Cross multiply
    263.24x = 362.94 × 228.14
  4. Step 4: Simplify right side
    263.24x = 82,801.13
  5. Step 5: Solve for x
    x = 82,801.13/263.24
  6. Step 6: Final answer
    x = 314.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.