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Finding the Fourth Proportional to 187.49, 258.50 and 143.28

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Solution

The fourth proportional to 187.49, 258.50 and 143.28 is: 197.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.49 : 258.50 = 143.28 : x
  2. Step 2: Convert to fraction form
    187.49/258.50 = 143.28/x
  3. Step 3: Cross multiply
    187.49x = 258.50 × 143.28
  4. Step 4: Simplify right side
    187.49x = 37,037.16
  5. Step 5: Solve for x
    x = 37,037.16/187.49
  6. Step 6: Final answer
    x = 197.55

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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.