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Finding the Fourth Proportional to 188.03, 259.38 and 167.04

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Solution

The fourth proportional to 188.03, 259.38 and 167.04 is: 230.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.03 : 259.38 = 167.04 : x
  2. Step 2: Convert to fraction form
    188.03/259.38 = 167.04/x
  3. Step 3: Cross multiply
    188.03x = 259.38 × 167.04
  4. Step 4: Simplify right side
    188.03x = 43,326.84
  5. Step 5: Solve for x
    x = 43,326.84/188.03
  6. Step 6: Final answer
    x = 230.43

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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.