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Finding the Fourth Proportional to 325.83, 488.81 and 143.18

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Solution

The fourth proportional to 325.83, 488.81 and 143.18 is: 214.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.83 : 488.81 = 143.18 : x
  2. Step 2: Convert to fraction form
    325.83/488.81 = 143.18/x
  3. Step 3: Cross multiply
    325.83x = 488.81 × 143.18
  4. Step 4: Simplify right side
    325.83x = 69,985.73
  5. Step 5: Solve for x
    x = 69,985.73/325.83
  6. Step 6: Final answer
    x = 214.79

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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.