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Finding the Fourth Proportional to 298.96, 448.34 and 183.47

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Solution

The fourth proportional to 298.96, 448.34 and 183.47 is: 275.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.96 : 448.34 = 183.47 : x
  2. Step 2: Convert to fraction form
    298.96/448.34 = 183.47/x
  3. Step 3: Cross multiply
    298.96x = 448.34 × 183.47
  4. Step 4: Simplify right side
    298.96x = 82,253.78
  5. Step 5: Solve for x
    x = 82,253.78/298.96
  6. Step 6: Final answer
    x = 275.14

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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.