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Finding the Fourth Proportional to 188, 259.49 and 114.32

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Solution

The fourth proportional to 188, 259.49 and 114.32 is: 157.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    188 : 259.49 = 114.32 : x
  2. Step 2: Convert to fraction form
    188/259.49 = 114.32/x
  3. Step 3: Cross multiply
    188x = 259.49 × 114.32
  4. Step 4: Simplify right side
    188x = 29,664.90
  5. Step 5: Solve for x
    x = 29,664.90/188
  6. Step 6: Final answer
    x = 157.79

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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.