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Finding the Fourth Proportional to 186.71, 256.28 and 165.51

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Solution

The fourth proportional to 186.71, 256.28 and 165.51 is: 227.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.71 : 256.28 = 165.51 : x
  2. Step 2: Convert to fraction form
    186.71/256.28 = 165.51/x
  3. Step 3: Cross multiply
    186.71x = 256.28 × 165.51
  4. Step 4: Simplify right side
    186.71x = 42,417.01
  5. Step 5: Solve for x
    x = 42,417.01/186.71
  6. Step 6: Final answer
    x = 227.19

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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.