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Finding the Fourth Proportional to 291.42, 402.51 and 198

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Solution

The fourth proportional to 291.42, 402.51 and 198 is: 273.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.42 : 402.51 = 198 : x
  2. Step 2: Convert to fraction form
    291.42/402.51 = 198/x
  3. Step 3: Cross multiply
    291.42x = 402.51 × 198
  4. Step 4: Simplify right side
    291.42x = 79,696.98
  5. Step 5: Solve for x
    x = 79,696.98/291.42
  6. Step 6: Final answer
    x = 273.48

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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.