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Finding the Fourth Proportional to 214.22, 295.77 and 136.70

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Solution

The fourth proportional to 214.22, 295.77 and 136.70 is: 188.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.22 : 295.77 = 136.70 : x
  2. Step 2: Convert to fraction form
    214.22/295.77 = 136.70/x
  3. Step 3: Cross multiply
    214.22x = 295.77 × 136.70
  4. Step 4: Simplify right side
    214.22x = 40,431.76
  5. Step 5: Solve for x
    x = 40,431.76/214.22
  6. Step 6: Final answer
    x = 188.74

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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.