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Finding the Fourth Proportional to 214.76, 296.37 and 120.23

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Solution

The fourth proportional to 214.76, 296.37 and 120.23 is: 165.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.76 : 296.37 = 120.23 : x
  2. Step 2: Convert to fraction form
    214.76/296.37 = 120.23/x
  3. Step 3: Cross multiply
    214.76x = 296.37 × 120.23
  4. Step 4: Simplify right side
    214.76x = 35,633.31
  5. Step 5: Solve for x
    x = 35,633.31/214.76
  6. Step 6: Final answer
    x = 165.93

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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.