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Finding the Fourth Proportional to 194.94, 291.02 and 153.95

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Solution

The fourth proportional to 194.94, 291.02 and 153.95 is: 229.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.94 : 291.02 = 153.95 : x
  2. Step 2: Convert to fraction form
    194.94/291.02 = 153.95/x
  3. Step 3: Cross multiply
    194.94x = 291.02 × 153.95
  4. Step 4: Simplify right side
    194.94x = 44,800.30
  5. Step 5: Solve for x
    x = 44,800.30/194.94
  6. Step 6: Final answer
    x = 229.82

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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.