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Finding the Fourth Proportional to 186.08, 256.88 and 112.40

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Solution

The fourth proportional to 186.08, 256.88 and 112.40 is: 155.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.08 : 256.88 = 112.40 : x
  2. Step 2: Convert to fraction form
    186.08/256.88 = 112.40/x
  3. Step 3: Cross multiply
    186.08x = 256.88 × 112.40
  4. Step 4: Simplify right side
    186.08x = 28,873.31
  5. Step 5: Solve for x
    x = 28,873.31/186.08
  6. Step 6: Final answer
    x = 155.17

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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.