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Finding the Fourth Proportional to 193.47, 266.73 and 165.72

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Solution

The fourth proportional to 193.47, 266.73 and 165.72 is: 228.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.47 : 266.73 = 165.72 : x
  2. Step 2: Convert to fraction form
    193.47/266.73 = 165.72/x
  3. Step 3: Cross multiply
    193.47x = 266.73 × 165.72
  4. Step 4: Simplify right side
    193.47x = 44,202.50
  5. Step 5: Solve for x
    x = 44,202.50/193.47
  6. Step 6: Final answer
    x = 228.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.