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Finding the Fourth Proportional to 187.84, 282.15 and 181.69

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Solution

The fourth proportional to 187.84, 282.15 and 181.69 is: 272.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.84 : 282.15 = 181.69 : x
  2. Step 2: Convert to fraction form
    187.84/282.15 = 181.69/x
  3. Step 3: Cross multiply
    187.84x = 282.15 × 181.69
  4. Step 4: Simplify right side
    187.84x = 51,263.83
  5. Step 5: Solve for x
    x = 51,263.83/187.84
  6. Step 6: Final answer
    x = 272.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.