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Finding the Fourth Proportional to 193.24, 266.44 and 166.81

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Solution

The fourth proportional to 193.24, 266.44 and 166.81 is: 230.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.24 : 266.44 = 166.81 : x
  2. Step 2: Convert to fraction form
    193.24/266.44 = 166.81/x
  3. Step 3: Cross multiply
    193.24x = 266.44 × 166.81
  4. Step 4: Simplify right side
    193.24x = 44,444.59
  5. Step 5: Solve for x
    x = 44,444.59/193.24
  6. Step 6: Final answer
    x = 230.00

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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.