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Finding the Fourth Proportional to 214.55, 296.16 and 127.27

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Solution

The fourth proportional to 214.55, 296.16 and 127.27 is: 175.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.55 : 296.16 = 127.27 : x
  2. Step 2: Convert to fraction form
    214.55/296.16 = 127.27/x
  3. Step 3: Cross multiply
    214.55x = 296.16 × 127.27
  4. Step 4: Simplify right side
    214.55x = 37,692.18
  5. Step 5: Solve for x
    x = 37,692.18/214.55
  6. Step 6: Final answer
    x = 175.68

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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.