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Finding the Fourth Proportional to 186.42, 257.15 and 133.94

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Solution

The fourth proportional to 186.42, 257.15 and 133.94 is: 184.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.42 : 257.15 = 133.94 : x
  2. Step 2: Convert to fraction form
    186.42/257.15 = 133.94/x
  3. Step 3: Cross multiply
    186.42x = 257.15 × 133.94
  4. Step 4: Simplify right side
    186.42x = 34,442.67
  5. Step 5: Solve for x
    x = 34,442.67/186.42
  6. Step 6: Final answer
    x = 184.76

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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.