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Finding the Fourth Proportional to 298.43, 448.65 and 238.22

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Solution

The fourth proportional to 298.43, 448.65 and 238.22 is: 358.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.43 : 448.65 = 238.22 : x
  2. Step 2: Convert to fraction form
    298.43/448.65 = 238.22/x
  3. Step 3: Cross multiply
    298.43x = 448.65 × 238.22
  4. Step 4: Simplify right side
    298.43x = 106,875.16
  5. Step 5: Solve for x
    x = 106,875.16/298.43
  6. Step 6: Final answer
    x = 358.13

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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.