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Finding the Fourth Proportional to 298.32, 411.83 and 187.95

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Solution

The fourth proportional to 298.32, 411.83 and 187.95 is: 259.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.32 : 411.83 = 187.95 : x
  2. Step 2: Convert to fraction form
    298.32/411.83 = 187.95/x
  3. Step 3: Cross multiply
    298.32x = 411.83 × 187.95
  4. Step 4: Simplify right side
    298.32x = 77,403.45
  5. Step 5: Solve for x
    x = 77,403.45/298.32
  6. Step 6: Final answer
    x = 259.46

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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.