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Finding the Fourth Proportional to 186.24, 256.80 and 164.40

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Solution

The fourth proportional to 186.24, 256.80 and 164.40 is: 226.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.24 : 256.80 = 164.40 : x
  2. Step 2: Convert to fraction form
    186.24/256.80 = 164.40/x
  3. Step 3: Cross multiply
    186.24x = 256.80 × 164.40
  4. Step 4: Simplify right side
    186.24x = 42,217.92
  5. Step 5: Solve for x
    x = 42,217.92/186.24
  6. Step 6: Final answer
    x = 226.69

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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.