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Finding the Fourth Proportional to 193.32, 266.04 and 168.66

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Solution

The fourth proportional to 193.32, 266.04 and 168.66 is: 232.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.32 : 266.04 = 168.66 : x
  2. Step 2: Convert to fraction form
    193.32/266.04 = 168.66/x
  3. Step 3: Cross multiply
    193.32x = 266.04 × 168.66
  4. Step 4: Simplify right side
    193.32x = 44,870.31
  5. Step 5: Solve for x
    x = 44,870.31/193.32
  6. Step 6: Final answer
    x = 232.10

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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.