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Finding the Fourth Proportional to 385.33, 578.00 and 180.00

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Solution

The fourth proportional to 385.33, 578.00 and 180.00 is: 269.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.33 : 578.00 = 180.00 : x
  2. Step 2: Convert to fraction form
    385.33/578.00 = 180.00/x
  3. Step 3: Cross multiply
    385.33x = 578.00 × 180.00
  4. Step 4: Simplify right side
    385.33x = 104,036.21
  5. Step 5: Solve for x
    x = 104,036.21/385.33
  6. Step 6: Final answer
    x = 269.99

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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.