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Finding the Fourth Proportional to 194.93, 292.10 and 153.89

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Solution

The fourth proportional to 194.93, 292.10 and 153.89 is: 230.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.93 : 292.10 = 153.89 : x
  2. Step 2: Convert to fraction form
    194.93/292.10 = 153.89/x
  3. Step 3: Cross multiply
    194.93x = 292.10 × 153.89
  4. Step 4: Simplify right side
    194.93x = 44,951.27
  5. Step 5: Solve for x
    x = 44,951.27/194.93
  6. Step 6: Final answer
    x = 230.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.