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Finding the Fourth Proportional to 298.02, 411.32 and 187.46

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Solution

The fourth proportional to 298.02, 411.32 and 187.46 is: 258.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.02 : 411.32 = 187.46 : x
  2. Step 2: Convert to fraction form
    298.02/411.32 = 187.46/x
  3. Step 3: Cross multiply
    298.02x = 411.32 × 187.46
  4. Step 4: Simplify right side
    298.02x = 77,106.05
  5. Step 5: Solve for x
    x = 77,106.05/298.02
  6. Step 6: Final answer
    x = 258.73

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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.