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Finding the Fourth Proportional to 186.01, 256.64 and 120.50

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Solution

The fourth proportional to 186.01, 256.64 and 120.50 is: 166.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.01 : 256.64 = 120.50 : x
  2. Step 2: Convert to fraction form
    186.01/256.64 = 120.50/x
  3. Step 3: Cross multiply
    186.01x = 256.64 × 120.50
  4. Step 4: Simplify right side
    186.01x = 30,923.84
  5. Step 5: Solve for x
    x = 30,923.84/186.01
  6. Step 6: Final answer
    x = 166.25

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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.