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Finding the Fourth Proportional to 214.03, 295.34 and 120.77

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Solution

The fourth proportional to 214.03, 295.34 and 120.77 is: 166.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.03 : 295.34 = 120.77 : x
  2. Step 2: Convert to fraction form
    214.03/295.34 = 120.77/x
  3. Step 3: Cross multiply
    214.03x = 295.34 × 120.77
  4. Step 4: Simplify right side
    214.03x = 35,668.21
  5. Step 5: Solve for x
    x = 35,668.21/214.03
  6. Step 6: Final answer
    x = 166.65

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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.