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Finding the Fourth Proportional to 187.79, 259.40 and 178.67

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Solution

The fourth proportional to 187.79, 259.40 and 178.67 is: 246.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.79 : 259.40 = 178.67 : x
  2. Step 2: Convert to fraction form
    187.79/259.40 = 178.67/x
  3. Step 3: Cross multiply
    187.79x = 259.40 × 178.67
  4. Step 4: Simplify right side
    187.79x = 46,348.09
  5. Step 5: Solve for x
    x = 46,348.09/187.79
  6. Step 6: Final answer
    x = 246.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.