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Finding the Fourth Proportional to 186.84, 257.94 and 121.50

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Solution

The fourth proportional to 186.84, 257.94 and 121.50 is: 167.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.84 : 257.94 = 121.50 : x
  2. Step 2: Convert to fraction form
    186.84/257.94 = 121.50/x
  3. Step 3: Cross multiply
    186.84x = 257.94 × 121.50
  4. Step 4: Simplify right side
    186.84x = 31,339.71
  5. Step 5: Solve for x
    x = 31,339.71/186.84
  6. Step 6: Final answer
    x = 167.74

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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.