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Finding the Fourth Proportional to 194.96, 291.03 and 177.95

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Solution

The fourth proportional to 194.96, 291.03 and 177.95 is: 265.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.96 : 291.03 = 177.95 : x
  2. Step 2: Convert to fraction form
    194.96/291.03 = 177.95/x
  3. Step 3: Cross multiply
    194.96x = 291.03 × 177.95
  4. Step 4: Simplify right side
    194.96x = 51,787.90
  5. Step 5: Solve for x
    x = 51,787.90/194.96
  6. Step 6: Final answer
    x = 265.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.