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Finding the Fourth Proportional to 187.29, 282.63 and 180.51

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Solution

The fourth proportional to 187.29, 282.63 and 180.51 is: 272.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.29 : 282.63 = 180.51 : x
  2. Step 2: Convert to fraction form
    187.29/282.63 = 180.51/x
  3. Step 3: Cross multiply
    187.29x = 282.63 × 180.51
  4. Step 4: Simplify right side
    187.29x = 51,016.64
  5. Step 5: Solve for x
    x = 51,016.64/187.29
  6. Step 6: Final answer
    x = 272.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.