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Finding the Fourth Proportional to 186.94, 256.48 and 177.76

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Solution

The fourth proportional to 186.94, 256.48 and 177.76 is: 243.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.94 : 256.48 = 177.76 : x
  2. Step 2: Convert to fraction form
    186.94/256.48 = 177.76/x
  3. Step 3: Cross multiply
    186.94x = 256.48 × 177.76
  4. Step 4: Simplify right side
    186.94x = 45,591.88
  5. Step 5: Solve for x
    x = 45,591.88/186.94
  6. Step 6: Final answer
    x = 243.89

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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.