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Finding the Fourth Proportional to 218, 300.85 and 130.68

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Solution

The fourth proportional to 218, 300.85 and 130.68 is: 180.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    218 : 300.85 = 130.68 : x
  2. Step 2: Convert to fraction form
    218/300.85 = 130.68/x
  3. Step 3: Cross multiply
    218x = 300.85 × 130.68
  4. Step 4: Simplify right side
    218x = 39,314.49
  5. Step 5: Solve for x
    x = 39,314.49/218
  6. Step 6: Final answer
    x = 180.34

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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.