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Finding the Fourth Proportional to 323.06, 483.93 and 149.48

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Solution

The fourth proportional to 323.06, 483.93 and 149.48 is: 223.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.06 : 483.93 = 149.48 : x
  2. Step 2: Convert to fraction form
    323.06/483.93 = 149.48/x
  3. Step 3: Cross multiply
    323.06x = 483.93 × 149.48
  4. Step 4: Simplify right side
    323.06x = 72,337.81
  5. Step 5: Solve for x
    x = 72,337.81/323.06
  6. Step 6: Final answer
    x = 223.92

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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.