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Finding the Fourth Proportional to 386.10, 578.67 and 190.89

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Solution

The fourth proportional to 386.10, 578.67 and 190.89 is: 286.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.10 : 578.67 = 190.89 : x
  2. Step 2: Convert to fraction form
    386.10/578.67 = 190.89/x
  3. Step 3: Cross multiply
    386.10x = 578.67 × 190.89
  4. Step 4: Simplify right side
    386.10x = 110,462.32
  5. Step 5: Solve for x
    x = 110,462.32/386.10
  6. Step 6: Final answer
    x = 286.10

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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.