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Finding the Fourth Proportional to 187.68, 257.37 and 178.32

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Solution

The fourth proportional to 187.68, 257.37 and 178.32 is: 244.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.68 : 257.37 = 178.32 : x
  2. Step 2: Convert to fraction form
    187.68/257.37 = 178.32/x
  3. Step 3: Cross multiply
    187.68x = 257.37 × 178.32
  4. Step 4: Simplify right side
    187.68x = 45,894.22
  5. Step 5: Solve for x
    x = 45,894.22/187.68
  6. Step 6: Final answer
    x = 244.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.