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Finding the Fourth Proportional to 197.32, 294.43 and 180.04

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Solution

The fourth proportional to 197.32, 294.43 and 180.04 is: 268.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.32 : 294.43 = 180.04 : x
  2. Step 2: Convert to fraction form
    197.32/294.43 = 180.04/x
  3. Step 3: Cross multiply
    197.32x = 294.43 × 180.04
  4. Step 4: Simplify right side
    197.32x = 53,009.18
  5. Step 5: Solve for x
    x = 53,009.18/197.32
  6. Step 6: Final answer
    x = 268.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.