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Finding the Fourth Proportional to 277.83, 382.50 and 228.62

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Solution

The fourth proportional to 277.83, 382.50 and 228.62 is: 314.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.83 : 382.50 = 228.62 : x
  2. Step 2: Convert to fraction form
    277.83/382.50 = 228.62/x
  3. Step 3: Cross multiply
    277.83x = 382.50 × 228.62
  4. Step 4: Simplify right side
    277.83x = 87,445.24
  5. Step 5: Solve for x
    x = 87,445.24/277.83
  6. Step 6: Final answer
    x = 314.75

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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.