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Finding the Fourth Proportional to 214.94, 296.67 and 137.45

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Solution

The fourth proportional to 214.94, 296.67 and 137.45 is: 189.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.94 : 296.67 = 137.45 : x
  2. Step 2: Convert to fraction form
    214.94/296.67 = 137.45/x
  3. Step 3: Cross multiply
    214.94x = 296.67 × 137.45
  4. Step 4: Simplify right side
    214.94x = 40,775.12
  5. Step 5: Solve for x
    x = 40,775.12/214.94
  6. Step 6: Final answer
    x = 189.71

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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.