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Finding the Fourth Proportional to 197.58, 297.84 and 184.80

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Solution

The fourth proportional to 197.58, 297.84 and 184.80 is: 278.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.58 : 297.84 = 184.80 : x
  2. Step 2: Convert to fraction form
    197.58/297.84 = 184.80/x
  3. Step 3: Cross multiply
    197.58x = 297.84 × 184.80
  4. Step 4: Simplify right side
    197.58x = 55,040.83
  5. Step 5: Solve for x
    x = 55,040.83/197.58
  6. Step 6: Final answer
    x = 278.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.