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Finding the Fourth Proportional to 194.94, 294.14 and 187.44

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Solution

The fourth proportional to 194.94, 294.14 and 187.44 is: 282.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.94 : 294.14 = 187.44 : x
  2. Step 2: Convert to fraction form
    194.94/294.14 = 187.44/x
  3. Step 3: Cross multiply
    194.94x = 294.14 × 187.44
  4. Step 4: Simplify right side
    194.94x = 55,133.60
  5. Step 5: Solve for x
    x = 55,133.60/194.94
  6. Step 6: Final answer
    x = 282.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.