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Finding the Fourth Proportional to 214.55, 296.09 and 127.22

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Solution

The fourth proportional to 214.55, 296.09 and 127.22 is: 175.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.55 : 296.09 = 127.22 : x
  2. Step 2: Convert to fraction form
    214.55/296.09 = 127.22/x
  3. Step 3: Cross multiply
    214.55x = 296.09 × 127.22
  4. Step 4: Simplify right side
    214.55x = 37,666.45
  5. Step 5: Solve for x
    x = 37,666.45/214.55
  6. Step 6: Final answer
    x = 175.56

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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.