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Finding the Fourth Proportional to 187.68, 280.38 and 170.64

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Solution

The fourth proportional to 187.68, 280.38 and 170.64 is: 254.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.68 : 280.38 = 170.64 : x
  2. Step 2: Convert to fraction form
    187.68/280.38 = 170.64/x
  3. Step 3: Cross multiply
    187.68x = 280.38 × 170.64
  4. Step 4: Simplify right side
    187.68x = 47,844.04
  5. Step 5: Solve for x
    x = 47,844.04/187.68
  6. Step 6: Final answer
    x = 254.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.