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Finding the Fourth Proportional to 188.29, 259.66 and 170.06

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Solution

The fourth proportional to 188.29, 259.66 and 170.06 is: 234.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.29 : 259.66 = 170.06 : x
  2. Step 2: Convert to fraction form
    188.29/259.66 = 170.06/x
  3. Step 3: Cross multiply
    188.29x = 259.66 × 170.06
  4. Step 4: Simplify right side
    188.29x = 44,157.78
  5. Step 5: Solve for x
    x = 44,157.78/188.29
  6. Step 6: Final answer
    x = 234.52

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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.