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Finding the Fourth Proportional to 214.20, 295.52 and 120.93

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Solution

The fourth proportional to 214.20, 295.52 and 120.93 is: 166.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.20 : 295.52 = 120.93 : x
  2. Step 2: Convert to fraction form
    214.20/295.52 = 120.93/x
  3. Step 3: Cross multiply
    214.20x = 295.52 × 120.93
  4. Step 4: Simplify right side
    214.20x = 35,737.23
  5. Step 5: Solve for x
    x = 35,737.23/214.20
  6. Step 6: Final answer
    x = 166.84

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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.