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Finding the Fourth Proportional to 310.16, 428.02 and 199.67

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Solution

The fourth proportional to 310.16, 428.02 and 199.67 is: 275.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.16 : 428.02 = 199.67 : x
  2. Step 2: Convert to fraction form
    310.16/428.02 = 199.67/x
  3. Step 3: Cross multiply
    310.16x = 428.02 × 199.67
  4. Step 4: Simplify right side
    310.16x = 85,460.11
  5. Step 5: Solve for x
    x = 85,460.11/310.16
  6. Step 6: Final answer
    x = 275.53

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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.