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Finding the Fourth Proportional to 324.56, 486.64 and 141.84

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Solution

The fourth proportional to 324.56, 486.64 and 141.84 is: 212.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.56 : 486.64 = 141.84 : x
  2. Step 2: Convert to fraction form
    324.56/486.64 = 141.84/x
  3. Step 3: Cross multiply
    324.56x = 486.64 × 141.84
  4. Step 4: Simplify right side
    324.56x = 69,025.02
  5. Step 5: Solve for x
    x = 69,025.02/324.56
  6. Step 6: Final answer
    x = 212.67

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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.