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Finding the Fourth Proportional to 188.29, 259.81 and 113.64

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Solution

The fourth proportional to 188.29, 259.81 and 113.64 is: 156.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.29 : 259.81 = 113.64 : x
  2. Step 2: Convert to fraction form
    188.29/259.81 = 113.64/x
  3. Step 3: Cross multiply
    188.29x = 259.81 × 113.64
  4. Step 4: Simplify right side
    188.29x = 29,524.81
  5. Step 5: Solve for x
    x = 29,524.81/188.29
  6. Step 6: Final answer
    x = 156.80

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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.