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Finding the Fourth Proportional to 301.76, 416.32 and 198.40

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Solution

The fourth proportional to 301.76, 416.32 and 198.40 is: 273.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.76 : 416.32 = 198.40 : x
  2. Step 2: Convert to fraction form
    301.76/416.32 = 198.40/x
  3. Step 3: Cross multiply
    301.76x = 416.32 × 198.40
  4. Step 4: Simplify right side
    301.76x = 82,597.89
  5. Step 5: Solve for x
    x = 82,597.89/301.76
  6. Step 6: Final answer
    x = 273.72

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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.