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Finding the Fourth Proportional to 143.89, 214.85 and 118.26

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Solution

The fourth proportional to 143.89, 214.85 and 118.26 is: 176.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.89 : 214.85 = 118.26 : x
  2. Step 2: Convert to fraction form
    143.89/214.85 = 118.26/x
  3. Step 3: Cross multiply
    143.89x = 214.85 × 118.26
  4. Step 4: Simplify right side
    143.89x = 25,408.46
  5. Step 5: Solve for x
    x = 25,408.46/143.89
  6. Step 6: Final answer
    x = 176.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.