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Finding the Fourth Proportional to 214.63, 296.21 and 137

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Solution

The fourth proportional to 214.63, 296.21 and 137 is: 189.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.63 : 296.21 = 137 : x
  2. Step 2: Convert to fraction form
    214.63/296.21 = 137/x
  3. Step 3: Cross multiply
    214.63x = 296.21 × 137
  4. Step 4: Simplify right side
    214.63x = 40,580.77
  5. Step 5: Solve for x
    x = 40,580.77/214.63
  6. Step 6: Final answer
    x = 189.07

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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.