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Finding the Fourth Proportional to 301.48, 415.82 and 218.72

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Solution

The fourth proportional to 301.48, 415.82 and 218.72 is: 301.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.48 : 415.82 = 218.72 : x
  2. Step 2: Convert to fraction form
    301.48/415.82 = 218.72/x
  3. Step 3: Cross multiply
    301.48x = 415.82 × 218.72
  4. Step 4: Simplify right side
    301.48x = 90,947.06
  5. Step 5: Solve for x
    x = 90,947.06/301.48
  6. Step 6: Final answer
    x = 301.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.