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Finding the Fourth Proportional to 385.98, 579.20 and 142.68

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Solution

The fourth proportional to 385.98, 579.20 and 142.68 is: 214.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.98 : 579.20 = 142.68 : x
  2. Step 2: Convert to fraction form
    385.98/579.20 = 142.68/x
  3. Step 3: Cross multiply
    385.98x = 579.20 × 142.68
  4. Step 4: Simplify right side
    385.98x = 82,636.65
  5. Step 5: Solve for x
    x = 82,636.65/385.98
  6. Step 6: Final answer
    x = 214.10

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