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Finding the Fourth Proportional to 298.98, 412.47 and 199.35

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Solution

The fourth proportional to 298.98, 412.47 and 199.35 is: 275.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.98 : 412.47 = 199.35 : x
  2. Step 2: Convert to fraction form
    298.98/412.47 = 199.35/x
  3. Step 3: Cross multiply
    298.98x = 412.47 × 199.35
  4. Step 4: Simplify right side
    298.98x = 82,225.89
  5. Step 5: Solve for x
    x = 82,225.89/298.98
  6. Step 6: Final answer
    x = 275.02

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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.