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Finding the Fourth Proportional to 310.16, 464.60 and 213.52

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Solution

The fourth proportional to 310.16, 464.60 and 213.52 is: 319.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.16 : 464.60 = 213.52 : x
  2. Step 2: Convert to fraction form
    310.16/464.60 = 213.52/x
  3. Step 3: Cross multiply
    310.16x = 464.60 × 213.52
  4. Step 4: Simplify right side
    310.16x = 99,201.39
  5. Step 5: Solve for x
    x = 99,201.39/310.16
  6. Step 6: Final answer
    x = 319.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.