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Finding the Fourth Proportional to 167.84, 231.30 and 156.02

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Solution

The fourth proportional to 167.84, 231.30 and 156.02 is: 215.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.84 : 231.30 = 156.02 : x
  2. Step 2: Convert to fraction form
    167.84/231.30 = 156.02/x
  3. Step 3: Cross multiply
    167.84x = 231.30 × 156.02
  4. Step 4: Simplify right side
    167.84x = 36,087.43
  5. Step 5: Solve for x
    x = 36,087.43/167.84
  6. Step 6: Final answer
    x = 215.01

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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.