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Finding the Fourth Proportional to 446.93, 670.46 and 138.80

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Solution

The fourth proportional to 446.93, 670.46 and 138.80 is: 208.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.93 : 670.46 = 138.80 : x
  2. Step 2: Convert to fraction form
    446.93/670.46 = 138.80/x
  3. Step 3: Cross multiply
    446.93x = 670.46 × 138.80
  4. Step 4: Simplify right side
    446.93x = 93,060.83
  5. Step 5: Solve for x
    x = 93,060.83/446.93
  6. Step 6: Final answer
    x = 208.22

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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.