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Finding the Fourth Proportional to 187.37, 258.53 and 159.47

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Solution

The fourth proportional to 187.37, 258.53 and 159.47 is: 220.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.37 : 258.53 = 159.47 : x
  2. Step 2: Convert to fraction form
    187.37/258.53 = 159.47/x
  3. Step 3: Cross multiply
    187.37x = 258.53 × 159.47
  4. Step 4: Simplify right side
    187.37x = 41,227.78
  5. Step 5: Solve for x
    x = 41,227.78/187.37
  6. Step 6: Final answer
    x = 220.03

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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.