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Finding the Fourth Proportional to 167.76, 231.66 and 154.98

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Solution

The fourth proportional to 167.76, 231.66 and 154.98 is: 214.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.76 : 231.66 = 154.98 : x
  2. Step 2: Convert to fraction form
    167.76/231.66 = 154.98/x
  3. Step 3: Cross multiply
    167.76x = 231.66 × 154.98
  4. Step 4: Simplify right side
    167.76x = 35,902.67
  5. Step 5: Solve for x
    x = 35,902.67/167.76
  6. Step 6: Final answer
    x = 214.01

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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.