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Finding the Fourth Proportional to 277.41, 382.71 and 188.94

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Solution

The fourth proportional to 277.41, 382.71 and 188.94 is: 260.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.41 : 382.71 = 188.94 : x
  2. Step 2: Convert to fraction form
    277.41/382.71 = 188.94/x
  3. Step 3: Cross multiply
    277.41x = 382.71 × 188.94
  4. Step 4: Simplify right side
    277.41x = 72,309.23
  5. Step 5: Solve for x
    x = 72,309.23/277.41
  6. Step 6: Final answer
    x = 260.66

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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.