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Finding the Fourth Proportional to 213.85, 295.14 and 135.19

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Solution

The fourth proportional to 213.85, 295.14 and 135.19 is: 186.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.85 : 295.14 = 135.19 : x
  2. Step 2: Convert to fraction form
    213.85/295.14 = 135.19/x
  3. Step 3: Cross multiply
    213.85x = 295.14 × 135.19
  4. Step 4: Simplify right side
    213.85x = 39,899.98
  5. Step 5: Solve for x
    x = 39,899.98/213.85
  6. Step 6: Final answer
    x = 186.58

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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.