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Finding the Fourth Proportional to 310.22, 465.66 and 173.34

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Solution

The fourth proportional to 310.22, 465.66 and 173.34 is: 260.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.22 : 465.66 = 173.34 : x
  2. Step 2: Convert to fraction form
    310.22/465.66 = 173.34/x
  3. Step 3: Cross multiply
    310.22x = 465.66 × 173.34
  4. Step 4: Simplify right side
    310.22x = 80,717.50
  5. Step 5: Solve for x
    x = 80,717.50/310.22
  6. Step 6: Final answer
    x = 260.19

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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.