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Finding the Fourth Proportional to 386.33, 579.13 and 178.07

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Solution

The fourth proportional to 386.33, 579.13 and 178.07 is: 266.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.33 : 579.13 = 178.07 : x
  2. Step 2: Convert to fraction form
    386.33/579.13 = 178.07/x
  3. Step 3: Cross multiply
    386.33x = 579.13 × 178.07
  4. Step 4: Simplify right side
    386.33x = 103,122.34
  5. Step 5: Solve for x
    x = 103,122.34/386.33
  6. Step 6: Final answer
    x = 266.93

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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.