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Finding the Fourth Proportional to 214.81, 296.43 and 120.28

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Solution

The fourth proportional to 214.81, 296.43 and 120.28 is: 165.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.81 : 296.43 = 120.28 : x
  2. Step 2: Convert to fraction form
    214.81/296.43 = 120.28/x
  3. Step 3: Cross multiply
    214.81x = 296.43 × 120.28
  4. Step 4: Simplify right side
    214.81x = 35,653.86
  5. Step 5: Solve for x
    x = 35,653.86/214.81
  6. Step 6: Final answer
    x = 165.98

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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.