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Finding the Fourth Proportional to 263.91, 364.46 and 228.77

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Solution

The fourth proportional to 263.91, 364.46 and 228.77 is: 315.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.91 : 364.46 = 228.77 : x
  2. Step 2: Convert to fraction form
    263.91/364.46 = 228.77/x
  3. Step 3: Cross multiply
    263.91x = 364.46 × 228.77
  4. Step 4: Simplify right side
    263.91x = 83,377.51
  5. Step 5: Solve for x
    x = 83,377.51/263.91
  6. Step 6: Final answer
    x = 315.93

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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.