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Finding the Fourth Proportional to 214.81, 296.45 and 120.29

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Solution

The fourth proportional to 214.81, 296.45 and 120.29 is: 166.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.81 : 296.45 = 120.29 : x
  2. Step 2: Convert to fraction form
    214.81/296.45 = 120.29/x
  3. Step 3: Cross multiply
    214.81x = 296.45 × 120.29
  4. Step 4: Simplify right side
    214.81x = 35,660.22
  5. Step 5: Solve for x
    x = 35,660.22/214.81
  6. Step 6: Final answer
    x = 166.01

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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.