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Finding the Fourth Proportional to 186.07, 256.74 and 112.39

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Solution

The fourth proportional to 186.07, 256.74 and 112.39 is: 155.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.07 : 256.74 = 112.39 : x
  2. Step 2: Convert to fraction form
    186.07/256.74 = 112.39/x
  3. Step 3: Cross multiply
    186.07x = 256.74 × 112.39
  4. Step 4: Simplify right side
    186.07x = 28,853.72
  5. Step 5: Solve for x
    x = 28,853.72/186.07
  6. Step 6: Final answer
    x = 155.07

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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.