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Finding the Fourth Proportional to 298.49, 446.85 and 237.20

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Solution

The fourth proportional to 298.49, 446.85 and 237.20 is: 355.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.49 : 446.85 = 237.20 : x
  2. Step 2: Convert to fraction form
    298.49/446.85 = 237.20/x
  3. Step 3: Cross multiply
    298.49x = 446.85 × 237.20
  4. Step 4: Simplify right side
    298.49x = 105,990.59
  5. Step 5: Solve for x
    x = 105,990.59/298.49
  6. Step 6: Final answer
    x = 355.10

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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.