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Finding the Fourth Proportional to 386.32, 579.34 and 142.78

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Solution

The fourth proportional to 386.32, 579.34 and 142.78 is: 214.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.32 : 579.34 = 142.78 : x
  2. Step 2: Convert to fraction form
    386.32/579.34 = 142.78/x
  3. Step 3: Cross multiply
    386.32x = 579.34 × 142.78
  4. Step 4: Simplify right side
    386.32x = 82,718.17
  5. Step 5: Solve for x
    x = 82,718.17/386.32
  6. Step 6: Final answer
    x = 214.12

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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.