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Finding the Fourth Proportional to 193, 289.50 and 56.04

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Solution

The fourth proportional to 193, 289.50 and 56.04 is: 84.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    193 : 289.50 = 56.04 : x
  2. Step 2: Convert to fraction form
    193/289.50 = 56.04/x
  3. Step 3: Cross multiply
    193x = 289.50 × 56.04
  4. Step 4: Simplify right side
    193x = 16,223.58
  5. Step 5: Solve for x
    x = 16,223.58/193
  6. Step 6: Final answer
    x = 84.06

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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.