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Finding the Fourth Proportional to 326, 489.10 and 143.32

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Solution

The fourth proportional to 326, 489.10 and 143.32 is: 215.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    326 : 489.10 = 143.32 : x
  2. Step 2: Convert to fraction form
    326/489.10 = 143.32/x
  3. Step 3: Cross multiply
    326x = 489.10 × 143.32
  4. Step 4: Simplify right side
    326x = 70,097.81
  5. Step 5: Solve for x
    x = 70,097.81/326
  6. Step 6: Final answer
    x = 215.02

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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.