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Finding the Fourth Proportional to 186.48, 257.34 and 121.11

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Solution

The fourth proportional to 186.48, 257.34 and 121.11 is: 167.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.48 : 257.34 = 121.11 : x
  2. Step 2: Convert to fraction form
    186.48/257.34 = 121.11/x
  3. Step 3: Cross multiply
    186.48x = 257.34 × 121.11
  4. Step 4: Simplify right side
    186.48x = 31,166.45
  5. Step 5: Solve for x
    x = 31,166.45/186.48
  6. Step 6: Final answer
    x = 167.13

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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.