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Finding the Fourth Proportional to 186.09, 280.13 and 143.00

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Solution

The fourth proportional to 186.09, 280.13 and 143.00 is: 215.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.09 : 280.13 = 143.00 : x
  2. Step 2: Convert to fraction form
    186.09/280.13 = 143.00/x
  3. Step 3: Cross multiply
    186.09x = 280.13 × 143.00
  4. Step 4: Simplify right side
    186.09x = 40,056.47
  5. Step 5: Solve for x
    x = 40,056.47/186.09
  6. Step 6: Final answer
    x = 215.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.