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Finding the Fourth Proportional to 298.24, 446.88 and 202.08

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Solution

The fourth proportional to 298.24, 446.88 and 202.08 is: 302.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.24 : 446.88 = 202.08 : x
  2. Step 2: Convert to fraction form
    298.24/446.88 = 202.08/x
  3. Step 3: Cross multiply
    298.24x = 446.88 × 202.08
  4. Step 4: Simplify right side
    298.24x = 90,305.51
  5. Step 5: Solve for x
    x = 90,305.51/298.24
  6. Step 6: Final answer
    x = 302.79

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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.