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Finding the Fourth Proportional to 310.07, 427.81 and 193.63

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Solution

The fourth proportional to 310.07, 427.81 and 193.63 is: 267.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.07 : 427.81 = 193.63 : x
  2. Step 2: Convert to fraction form
    310.07/427.81 = 193.63/x
  3. Step 3: Cross multiply
    310.07x = 427.81 × 193.63
  4. Step 4: Simplify right side
    310.07x = 82,836.85
  5. Step 5: Solve for x
    x = 82,836.85/310.07
  6. Step 6: Final answer
    x = 267.16

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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.