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Finding the Fourth Proportional to 324.10, 485.76 and 150.53

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Solution

The fourth proportional to 324.10, 485.76 and 150.53 is: 225.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.10 : 485.76 = 150.53 : x
  2. Step 2: Convert to fraction form
    324.10/485.76 = 150.53/x
  3. Step 3: Cross multiply
    324.10x = 485.76 × 150.53
  4. Step 4: Simplify right side
    324.10x = 73,121.45
  5. Step 5: Solve for x
    x = 73,121.45/324.10
  6. Step 6: Final answer
    x = 225.61

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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.