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Finding the Fourth Proportional to 298.23, 411.65 and 193.32

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Solution

The fourth proportional to 298.23, 411.65 and 193.32 is: 266.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.23 : 411.65 = 193.32 : x
  2. Step 2: Convert to fraction form
    298.23/411.65 = 193.32/x
  3. Step 3: Cross multiply
    298.23x = 411.65 × 193.32
  4. Step 4: Simplify right side
    298.23x = 79,579.94
  5. Step 5: Solve for x
    x = 79,579.94/298.23
  6. Step 6: Final answer
    x = 266.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.