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Finding the Fourth Proportional to 298.15, 446.59 and 189.40

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Solution

The fourth proportional to 298.15, 446.59 and 189.40 is: 283.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.15 : 446.59 = 189.40 : x
  2. Step 2: Convert to fraction form
    298.15/446.59 = 189.40/x
  3. Step 3: Cross multiply
    298.15x = 446.59 × 189.40
  4. Step 4: Simplify right side
    298.15x = 84,584.15
  5. Step 5: Solve for x
    x = 84,584.15/298.15
  6. Step 6: Final answer
    x = 283.70

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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.