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Finding the Fourth Proportional to 197.03, 294.03 and 184.28

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Solution

The fourth proportional to 197.03, 294.03 and 184.28 is: 274.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.03 : 294.03 = 184.28 : x
  2. Step 2: Convert to fraction form
    197.03/294.03 = 184.28/x
  3. Step 3: Cross multiply
    197.03x = 294.03 × 184.28
  4. Step 4: Simplify right side
    197.03x = 54,182.38
  5. Step 5: Solve for x
    x = 54,182.38/197.03
  6. Step 6: Final answer
    x = 274.99

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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.