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Finding the Fourth Proportional to 310.90, 466.42 and 105.46

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Solution

The fourth proportional to 310.90, 466.42 and 105.46 is: 158.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.90 : 466.42 = 105.46 : x
  2. Step 2: Convert to fraction form
    310.90/466.42 = 105.46/x
  3. Step 3: Cross multiply
    310.90x = 466.42 × 105.46
  4. Step 4: Simplify right side
    310.90x = 49,188.65
  5. Step 5: Solve for x
    x = 49,188.65/310.90
  6. Step 6: Final answer
    x = 158.21

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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.