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Finding the Fourth Proportional to 193.20, 281.64 and 193.20

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Solution

The fourth proportional to 193.20, 281.64 and 193.20 is: 281.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.20 : 281.64 = 193.20 : x
  2. Step 2: Convert to fraction form
    193.20/281.64 = 193.20/x
  3. Step 3: Cross multiply
    193.20x = 281.64 × 193.20
  4. Step 4: Simplify right side
    193.20x = 54,412.85
  5. Step 5: Solve for x
    x = 54,412.85/193.20
  6. Step 6: Final answer
    x = 281.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.