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Finding the Fourth Proportional to 186.59, 256.98 and 184.62

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Solution

The fourth proportional to 186.59, 256.98 and 184.62 is: 254.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.59 : 256.98 = 184.62 : x
  2. Step 2: Convert to fraction form
    186.59/256.98 = 184.62/x
  3. Step 3: Cross multiply
    186.59x = 256.98 × 184.62
  4. Step 4: Simplify right side
    186.59x = 47,443.65
  5. Step 5: Solve for x
    x = 47,443.65/186.59
  6. Step 6: Final answer
    x = 254.27

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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.