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Finding the Fourth Proportional to 186.19, 256.89 and 120.72

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Solution

The fourth proportional to 186.19, 256.89 and 120.72 is: 166.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.19 : 256.89 = 120.72 : x
  2. Step 2: Convert to fraction form
    186.19/256.89 = 120.72/x
  3. Step 3: Cross multiply
    186.19x = 256.89 × 120.72
  4. Step 4: Simplify right side
    186.19x = 31,011.76
  5. Step 5: Solve for x
    x = 31,011.76/186.19
  6. Step 6: Final answer
    x = 166.56

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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.