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Finding the Fourth Proportional to 298.80, 447.48 and 202.32

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Solution

The fourth proportional to 298.80, 447.48 and 202.32 is: 302.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.80 : 447.48 = 202.32 : x
  2. Step 2: Convert to fraction form
    298.80/447.48 = 202.32/x
  3. Step 3: Cross multiply
    298.80x = 447.48 × 202.32
  4. Step 4: Simplify right side
    298.80x = 90,534.15
  5. Step 5: Solve for x
    x = 90,534.15/298.80
  6. Step 6: Final answer
    x = 302.99

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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.