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Finding the Fourth Proportional to 187.68, 281.76 and 178.96

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Solution

The fourth proportional to 187.68, 281.76 and 178.96 is: 268.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.68 : 281.76 = 178.96 : x
  2. Step 2: Convert to fraction form
    187.68/281.76 = 178.96/x
  3. Step 3: Cross multiply
    187.68x = 281.76 × 178.96
  4. Step 4: Simplify right side
    187.68x = 50,423.77
  5. Step 5: Solve for x
    x = 50,423.77/187.68
  6. Step 6: Final answer
    x = 268.67

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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.