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Finding the Fourth Proportional to 298.88, 448.96 and 238.08

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Solution

The fourth proportional to 298.88, 448.96 and 238.08 is: 357.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.88 : 448.96 = 238.08 : x
  2. Step 2: Convert to fraction form
    298.88/448.96 = 238.08/x
  3. Step 3: Cross multiply
    298.88x = 448.96 × 238.08
  4. Step 4: Simplify right side
    298.88x = 106,888.40
  5. Step 5: Solve for x
    x = 106,888.40/298.88
  6. Step 6: Final answer
    x = 357.63

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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.