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Finding the Fourth Proportional to 214.93, 296.44 and 183.97

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Solution

The fourth proportional to 214.93, 296.44 and 183.97 is: 253.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.93 : 296.44 = 183.97 : x
  2. Step 2: Convert to fraction form
    214.93/296.44 = 183.97/x
  3. Step 3: Cross multiply
    214.93x = 296.44 × 183.97
  4. Step 4: Simplify right side
    214.93x = 54,536.07
  5. Step 5: Solve for x
    x = 54,536.07/214.93
  6. Step 6: Final answer
    x = 253.74

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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.