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Finding the Fourth Proportional to 385.65, 578.15 and 180.11

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Solution

The fourth proportional to 385.65, 578.15 and 180.11 is: 270.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.65 : 578.15 = 180.11 : x
  2. Step 2: Convert to fraction form
    385.65/578.15 = 180.11/x
  3. Step 3: Cross multiply
    385.65x = 578.15 × 180.11
  4. Step 4: Simplify right side
    385.65x = 104,130.60
  5. Step 5: Solve for x
    x = 104,130.60/385.65
  6. Step 6: Final answer
    x = 270.01

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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.