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Finding the Fourth Proportional to 310, 427.70 and 199.56

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Solution

The fourth proportional to 310, 427.70 and 199.56 is: 275.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    310 : 427.70 = 199.56 : x
  2. Step 2: Convert to fraction form
    310/427.70 = 199.56/x
  3. Step 3: Cross multiply
    310x = 427.70 × 199.56
  4. Step 4: Simplify right side
    310x = 85,351.81
  5. Step 5: Solve for x
    x = 85,351.81/310
  6. Step 6: Final answer
    x = 275.33

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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.