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Finding the Fourth Proportional to 187.89, 259.32 and 114.23

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Solution

The fourth proportional to 187.89, 259.32 and 114.23 is: 157.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.89 : 259.32 = 114.23 : x
  2. Step 2: Convert to fraction form
    187.89/259.32 = 114.23/x
  3. Step 3: Cross multiply
    187.89x = 259.32 × 114.23
  4. Step 4: Simplify right side
    187.89x = 29,621.55
  5. Step 5: Solve for x
    x = 29,621.55/187.89
  6. Step 6: Final answer
    x = 157.65

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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.