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Finding the Fourth Proportional to 326.90, 489.94 and 162.19

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Solution

The fourth proportional to 326.90, 489.94 and 162.19 is: 243.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.90 : 489.94 = 162.19 : x
  2. Step 2: Convert to fraction form
    326.90/489.94 = 162.19/x
  3. Step 3: Cross multiply
    326.90x = 489.94 × 162.19
  4. Step 4: Simplify right side
    326.90x = 79,461.74
  5. Step 5: Solve for x
    x = 79,461.74/326.90
  6. Step 6: Final answer
    x = 243.08

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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.