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Finding the Fourth Proportional to 310.07, 427.79 and 193.70

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Solution

The fourth proportional to 310.07, 427.79 and 193.70 is: 267.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.07 : 427.79 = 193.70 : x
  2. Step 2: Convert to fraction form
    310.07/427.79 = 193.70/x
  3. Step 3: Cross multiply
    310.07x = 427.79 × 193.70
  4. Step 4: Simplify right side
    310.07x = 82,862.92
  5. Step 5: Solve for x
    x = 82,862.92/310.07
  6. Step 6: Final answer
    x = 267.24

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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.