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Finding the Fourth Proportional to 187.96, 259.36 and 114.24

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Solution

The fourth proportional to 187.96, 259.36 and 114.24 is: 157.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.96 : 259.36 = 114.24 : x
  2. Step 2: Convert to fraction form
    187.96/259.36 = 114.24/x
  3. Step 3: Cross multiply
    187.96x = 259.36 × 114.24
  4. Step 4: Simplify right side
    187.96x = 29,629.29
  5. Step 5: Solve for x
    x = 29,629.29/187.96
  6. Step 6: Final answer
    x = 157.64

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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.