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Finding the Fourth Proportional to 213.25, 294.29 and 135.63

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Solution

The fourth proportional to 213.25, 294.29 and 135.63 is: 187.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.25 : 294.29 = 135.63 : x
  2. Step 2: Convert to fraction form
    213.25/294.29 = 135.63/x
  3. Step 3: Cross multiply
    213.25x = 294.29 × 135.63
  4. Step 4: Simplify right side
    213.25x = 39,914.55
  5. Step 5: Solve for x
    x = 39,914.55/213.25
  6. Step 6: Final answer
    x = 187.17

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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.