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Finding the Fourth Proportional to 214.52, 296.08 and 127.22

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Solution

The fourth proportional to 214.52, 296.08 and 127.22 is: 175.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.52 : 296.08 = 127.22 : x
  2. Step 2: Convert to fraction form
    214.52/296.08 = 127.22/x
  3. Step 3: Cross multiply
    214.52x = 296.08 × 127.22
  4. Step 4: Simplify right side
    214.52x = 37,667.30
  5. Step 5: Solve for x
    x = 37,667.30/214.52
  6. Step 6: Final answer
    x = 175.59

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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.