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Finding the Fourth Proportional to 214.35, 295.85 and 135.71

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Solution

The fourth proportional to 214.35, 295.85 and 135.71 is: 187.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.35 : 295.85 = 135.71 : x
  2. Step 2: Convert to fraction form
    214.35/295.85 = 135.71/x
  3. Step 3: Cross multiply
    214.35x = 295.85 × 135.71
  4. Step 4: Simplify right side
    214.35x = 40,149.77
  5. Step 5: Solve for x
    x = 40,149.77/214.35
  6. Step 6: Final answer
    x = 187.31

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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.