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Finding the Fourth Proportional to 214.85, 296.48 and 120.32

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Solution

The fourth proportional to 214.85, 296.48 and 120.32 is: 166.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.85 : 296.48 = 120.32 : x
  2. Step 2: Convert to fraction form
    214.85/296.48 = 120.32/x
  3. Step 3: Cross multiply
    214.85x = 296.48 × 120.32
  4. Step 4: Simplify right side
    214.85x = 35,672.63
  5. Step 5: Solve for x
    x = 35,672.63/214.85
  6. Step 6: Final answer
    x = 166.04

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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.