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Finding the Fourth Proportional to 260.46, 389.90 and 173.70

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Solution

The fourth proportional to 260.46, 389.90 and 173.70 is: 260.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.46 : 389.90 = 173.70 : x
  2. Step 2: Convert to fraction form
    260.46/389.90 = 173.70/x
  3. Step 3: Cross multiply
    260.46x = 389.90 × 173.70
  4. Step 4: Simplify right side
    260.46x = 67,725.63
  5. Step 5: Solve for x
    x = 67,725.63/260.46
  6. Step 6: Final answer
    x = 260.02

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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.