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Finding the Fourth Proportional to 193.43, 288.96 and 155.00

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Solution

The fourth proportional to 193.43, 288.96 and 155.00 is: 231.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.43 : 288.96 = 155.00 : x
  2. Step 2: Convert to fraction form
    193.43/288.96 = 155.00/x
  3. Step 3: Cross multiply
    193.43x = 288.96 × 155.00
  4. Step 4: Simplify right side
    193.43x = 44,787.36
  5. Step 5: Solve for x
    x = 44,787.36/193.43
  6. Step 6: Final answer
    x = 231.55

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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.