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Finding the Fourth Proportional to 385.56, 578.07 and 142.02

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Solution

The fourth proportional to 385.56, 578.07 and 142.02 is: 212.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.56 : 578.07 = 142.02 : x
  2. Step 2: Convert to fraction form
    385.56/578.07 = 142.02/x
  3. Step 3: Cross multiply
    385.56x = 578.07 × 142.02
  4. Step 4: Simplify right side
    385.56x = 82,097.50
  5. Step 5: Solve for x
    x = 82,097.50/385.56
  6. Step 6: Final answer
    x = 212.93

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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.