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Finding the Fourth Proportional to 213.58, 294.45 and 135.94

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Solution

The fourth proportional to 213.58, 294.45 and 135.94 is: 187.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.58 : 294.45 = 135.94 : x
  2. Step 2: Convert to fraction form
    213.58/294.45 = 135.94/x
  3. Step 3: Cross multiply
    213.58x = 294.45 × 135.94
  4. Step 4: Simplify right side
    213.58x = 40,027.53
  5. Step 5: Solve for x
    x = 40,027.53/213.58
  6. Step 6: Final answer
    x = 187.41

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