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Finding the Fourth Proportional to 310.20, 464.70 and 194.64

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Solution

The fourth proportional to 310.20, 464.70 and 194.64 is: 291.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.20 : 464.70 = 194.64 : x
  2. Step 2: Convert to fraction form
    310.20/464.70 = 194.64/x
  3. Step 3: Cross multiply
    310.20x = 464.70 × 194.64
  4. Step 4: Simplify right side
    310.20x = 90,449.21
  5. Step 5: Solve for x
    x = 90,449.21/310.20
  6. Step 6: Final answer
    x = 291.58

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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.