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Finding the Fourth Proportional to 298.48, 448.50 and 243.08

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Solution

The fourth proportional to 298.48, 448.50 and 243.08 is: 365.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.48 : 448.50 = 243.08 : x
  2. Step 2: Convert to fraction form
    298.48/448.50 = 243.08/x
  3. Step 3: Cross multiply
    298.48x = 448.50 × 243.08
  4. Step 4: Simplify right side
    298.48x = 109,021.38
  5. Step 5: Solve for x
    x = 109,021.38/298.48
  6. Step 6: Final answer
    x = 365.26

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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.