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Finding the Fourth Proportional to 186.30, 257.07 and 124.23

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Solution

The fourth proportional to 186.30, 257.07 and 124.23 is: 171.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.30 : 257.07 = 124.23 : x
  2. Step 2: Convert to fraction form
    186.30/257.07 = 124.23/x
  3. Step 3: Cross multiply
    186.30x = 257.07 × 124.23
  4. Step 4: Simplify right side
    186.30x = 31,935.81
  5. Step 5: Solve for x
    x = 31,935.81/186.30
  6. Step 6: Final answer
    x = 171.42

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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.