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Finding the Fourth Proportional to 186.49, 256.89 and 177.67

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Solution

The fourth proportional to 186.49, 256.89 and 177.67 is: 244.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.49 : 256.89 = 177.67 : x
  2. Step 2: Convert to fraction form
    186.49/256.89 = 177.67/x
  3. Step 3: Cross multiply
    186.49x = 256.89 × 177.67
  4. Step 4: Simplify right side
    186.49x = 45,641.65
  5. Step 5: Solve for x
    x = 45,641.65/186.49
  6. Step 6: Final answer
    x = 244.74

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