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Finding the Fourth Proportional to 186.19, 256.91 and 112.51

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Solution

The fourth proportional to 186.19, 256.91 and 112.51 is: 155.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.19 : 256.91 = 112.51 : x
  2. Step 2: Convert to fraction form
    186.19/256.91 = 112.51/x
  3. Step 3: Cross multiply
    186.19x = 256.91 × 112.51
  4. Step 4: Simplify right side
    186.19x = 28,905.23
  5. Step 5: Solve for x
    x = 28,905.23/186.19
  6. Step 6: Final answer
    x = 155.25

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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.