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Finding the Fourth Proportional to 298.64, 448.12 and 202.26

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Solution

The fourth proportional to 298.64, 448.12 and 202.26 is: 303.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.64 : 448.12 = 202.26 : x
  2. Step 2: Convert to fraction form
    298.64/448.12 = 202.26/x
  3. Step 3: Cross multiply
    298.64x = 448.12 × 202.26
  4. Step 4: Simplify right side
    298.64x = 90,636.75
  5. Step 5: Solve for x
    x = 90,636.75/298.64
  6. Step 6: Final answer
    x = 303.50

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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.