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Finding the Fourth Proportional to 324.03, 486.30 and 141.50

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Solution

The fourth proportional to 324.03, 486.30 and 141.50 is: 212.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.03 : 486.30 = 141.50 : x
  2. Step 2: Convert to fraction form
    324.03/486.30 = 141.50/x
  3. Step 3: Cross multiply
    324.03x = 486.30 × 141.50
  4. Step 4: Simplify right side
    324.03x = 68,809.02
  5. Step 5: Solve for x
    x = 68,809.02/324.03
  6. Step 6: Final answer
    x = 212.35

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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.