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Finding the Fourth Proportional to 324.02, 485.76 and 195.50

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Solution

The fourth proportional to 324.02, 485.76 and 195.50 is: 293.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.02 : 485.76 = 195.50 : x
  2. Step 2: Convert to fraction form
    324.02/485.76 = 195.50/x
  3. Step 3: Cross multiply
    324.02x = 485.76 × 195.50
  4. Step 4: Simplify right side
    324.02x = 94,966.08
  5. Step 5: Solve for x
    x = 94,966.08/324.02
  6. Step 6: Final answer
    x = 293.09

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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.