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Finding the Fourth Proportional to 237.63, 325.84 and 214.22

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Solution

The fourth proportional to 237.63, 325.84 and 214.22 is: 293.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.63 : 325.84 = 214.22 : x
  2. Step 2: Convert to fraction form
    237.63/325.84 = 214.22/x
  3. Step 3: Cross multiply
    237.63x = 325.84 × 214.22
  4. Step 4: Simplify right side
    237.63x = 69,800.37
  5. Step 5: Solve for x
    x = 69,800.37/237.63
  6. Step 6: Final answer
    x = 293.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.