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Finding the Fourth Proportional to 386.68, 580.11 and 143.14

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Solution

The fourth proportional to 386.68, 580.11 and 143.14 is: 214.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.68 : 580.11 = 143.14 : x
  2. Step 2: Convert to fraction form
    386.68/580.11 = 143.14/x
  3. Step 3: Cross multiply
    386.68x = 580.11 × 143.14
  4. Step 4: Simplify right side
    386.68x = 83,036.95
  5. Step 5: Solve for x
    x = 83,036.95/386.68
  6. Step 6: Final answer
    x = 214.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.