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Finding the Fourth Proportional to 277.32, 382.14 and 228.54

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Solution

The fourth proportional to 277.32, 382.14 and 228.54 is: 314.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.32 : 382.14 = 228.54 : x
  2. Step 2: Convert to fraction form
    277.32/382.14 = 228.54/x
  3. Step 3: Cross multiply
    277.32x = 382.14 × 228.54
  4. Step 4: Simplify right side
    277.32x = 87,334.28
  5. Step 5: Solve for x
    x = 87,334.28/277.32
  6. Step 6: Final answer
    x = 314.92

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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.