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Finding the Fourth Proportional to 385.77, 578.55 and 180.14

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Solution

The fourth proportional to 385.77, 578.55 and 180.14 is: 270.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.77 : 578.55 = 180.14 : x
  2. Step 2: Convert to fraction form
    385.77/578.55 = 180.14/x
  3. Step 3: Cross multiply
    385.77x = 578.55 × 180.14
  4. Step 4: Simplify right side
    385.77x = 104,217.10
  5. Step 5: Solve for x
    x = 104,217.10/385.77
  6. Step 6: Final answer
    x = 270.15

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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.