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Finding the Fourth Proportional to 310.42, 465.09 and 165.88

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Solution

The fourth proportional to 310.42, 465.09 and 165.88 is: 248.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.42 : 465.09 = 165.88 : x
  2. Step 2: Convert to fraction form
    310.42/465.09 = 165.88/x
  3. Step 3: Cross multiply
    310.42x = 465.09 × 165.88
  4. Step 4: Simplify right side
    310.42x = 77,149.13
  5. Step 5: Solve for x
    x = 77,149.13/310.42
  6. Step 6: Final answer
    x = 248.53

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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.