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Finding the Fourth Proportional to 186.89, 257.45 and 147.41

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Solution

The fourth proportional to 186.89, 257.45 and 147.41 is: 203.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.89 : 257.45 = 147.41 : x
  2. Step 2: Convert to fraction form
    186.89/257.45 = 147.41/x
  3. Step 3: Cross multiply
    186.89x = 257.45 × 147.41
  4. Step 4: Simplify right side
    186.89x = 37,950.70
  5. Step 5: Solve for x
    x = 37,950.70/186.89
  6. Step 6: Final answer
    x = 203.06

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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.