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Finding the Fourth Proportional to 186.53, 257.49 and 121.07

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Solution

The fourth proportional to 186.53, 257.49 and 121.07 is: 167.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.53 : 257.49 = 121.07 : x
  2. Step 2: Convert to fraction form
    186.53/257.49 = 121.07/x
  3. Step 3: Cross multiply
    186.53x = 257.49 × 121.07
  4. Step 4: Simplify right side
    186.53x = 31,174.96
  5. Step 5: Solve for x
    x = 31,174.96/186.53
  6. Step 6: Final answer
    x = 167.14

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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.