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Finding the Fourth Proportional to 186.75, 257.56 and 140.23

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Solution

The fourth proportional to 186.75, 257.56 and 140.23 is: 193.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.75 : 257.56 = 140.23 : x
  2. Step 2: Convert to fraction form
    186.75/257.56 = 140.23/x
  3. Step 3: Cross multiply
    186.75x = 257.56 × 140.23
  4. Step 4: Simplify right side
    186.75x = 36,117.64
  5. Step 5: Solve for x
    x = 36,117.64/186.75
  6. Step 6: Final answer
    x = 193.40

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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.