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Finding the Fourth Proportional to 298.40, 447.64 and 202

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Solution

The fourth proportional to 298.40, 447.64 and 202 is: 303.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.40 : 447.64 = 202 : x
  2. Step 2: Convert to fraction form
    298.40/447.64 = 202/x
  3. Step 3: Cross multiply
    298.40x = 447.64 × 202
  4. Step 4: Simplify right side
    298.40x = 90,423.28
  5. Step 5: Solve for x
    x = 90,423.28/298.40
  6. Step 6: Final answer
    x = 303.03

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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.