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Finding the Fourth Proportional to 187.16, 280.49 and 105.84

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Solution

The fourth proportional to 187.16, 280.49 and 105.84 is: 158.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.16 : 280.49 = 105.84 : x
  2. Step 2: Convert to fraction form
    187.16/280.49 = 105.84/x
  3. Step 3: Cross multiply
    187.16x = 280.49 × 105.84
  4. Step 4: Simplify right side
    187.16x = 29,686.53
  5. Step 5: Solve for x
    x = 29,686.53/187.16
  6. Step 6: Final answer
    x = 158.62

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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.