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Finding the Fourth Proportional to 218.05, 300.78 and 152.44

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Solution

The fourth proportional to 218.05, 300.78 and 152.44 is: 210.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.05 : 300.78 = 152.44 : x
  2. Step 2: Convert to fraction form
    218.05/300.78 = 152.44/x
  3. Step 3: Cross multiply
    218.05x = 300.78 × 152.44
  4. Step 4: Simplify right side
    218.05x = 45,850.15
  5. Step 5: Solve for x
    x = 45,850.15/218.05
  6. Step 6: Final answer
    x = 210.28

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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.