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Finding the Fourth Proportional to 310.50, 465.89 and 105.09

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Solution

The fourth proportional to 310.50, 465.89 and 105.09 is: 157.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.50 : 465.89 = 105.09 : x
  2. Step 2: Convert to fraction form
    310.50/465.89 = 105.09/x
  3. Step 3: Cross multiply
    310.50x = 465.89 × 105.09
  4. Step 4: Simplify right side
    310.50x = 48,962.00
  5. Step 5: Solve for x
    x = 48,962.00/310.50
  6. Step 6: Final answer
    x = 157.69

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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.