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Finding the Fourth Proportional to 324.81, 486.95 and 142.08

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Solution

The fourth proportional to 324.81, 486.95 and 142.08 is: 213.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.81 : 486.95 = 142.08 : x
  2. Step 2: Convert to fraction form
    324.81/486.95 = 142.08/x
  3. Step 3: Cross multiply
    324.81x = 486.95 × 142.08
  4. Step 4: Simplify right side
    324.81x = 69,185.86
  5. Step 5: Solve for x
    x = 69,185.86/324.81
  6. Step 6: Final answer
    x = 213.00

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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.