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Finding the Fourth Proportional to 298.85, 448.39 and 125.63

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Solution

The fourth proportional to 298.85, 448.39 and 125.63 is: 188.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.85 : 448.39 = 125.63 : x
  2. Step 2: Convert to fraction form
    298.85/448.39 = 125.63/x
  3. Step 3: Cross multiply
    298.85x = 448.39 × 125.63
  4. Step 4: Simplify right side
    298.85x = 56,328.99
  5. Step 5: Solve for x
    x = 56,328.99/298.85
  6. Step 6: Final answer
    x = 188.49

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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.