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Finding the Fourth Proportional to 310.64, 464.92 and 188.30

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Solution

The fourth proportional to 310.64, 464.92 and 188.30 is: 281.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.64 : 464.92 = 188.30 : x
  2. Step 2: Convert to fraction form
    310.64/464.92 = 188.30/x
  3. Step 3: Cross multiply
    310.64x = 464.92 × 188.30
  4. Step 4: Simplify right side
    310.64x = 87,545.13
  5. Step 5: Solve for x
    x = 87,545.13/310.64
  6. Step 6: Final answer
    x = 281.83

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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.