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Finding the Fourth Proportional to 197.04, 297.06 and 183.12

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Solution

The fourth proportional to 197.04, 297.06 and 183.12 is: 276.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.04 : 297.06 = 183.12 : x
  2. Step 2: Convert to fraction form
    197.04/297.06 = 183.12/x
  3. Step 3: Cross multiply
    197.04x = 297.06 × 183.12
  4. Step 4: Simplify right side
    197.04x = 54,397.63
  5. Step 5: Solve for x
    x = 54,397.63/197.04
  6. Step 6: Final answer
    x = 276.07

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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.