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Finding the Fourth Proportional to 187.29, 282.43 and 184.72

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Solution

The fourth proportional to 187.29, 282.43 and 184.72 is: 278.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.29 : 282.43 = 184.72 : x
  2. Step 2: Convert to fraction form
    187.29/282.43 = 184.72/x
  3. Step 3: Cross multiply
    187.29x = 282.43 × 184.72
  4. Step 4: Simplify right side
    187.29x = 52,170.36
  5. Step 5: Solve for x
    x = 52,170.36/187.29
  6. Step 6: Final answer
    x = 278.56

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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.