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Finding the Fourth Proportional to 214.25, 295.85 and 136.76

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Solution

The fourth proportional to 214.25, 295.85 and 136.76 is: 188.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.25 : 295.85 = 136.76 : x
  2. Step 2: Convert to fraction form
    214.25/295.85 = 136.76/x
  3. Step 3: Cross multiply
    214.25x = 295.85 × 136.76
  4. Step 4: Simplify right side
    214.25x = 40,459.31
  5. Step 5: Solve for x
    x = 40,459.31/214.25
  6. Step 6: Final answer
    x = 188.85

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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.