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Finding the Fourth Proportional to 385.18, 578.16 and 202.54

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Solution

The fourth proportional to 385.18, 578.16 and 202.54 is: 304.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.18 : 578.16 = 202.54 : x
  2. Step 2: Convert to fraction form
    385.18/578.16 = 202.54/x
  3. Step 3: Cross multiply
    385.18x = 578.16 × 202.54
  4. Step 4: Simplify right side
    385.18x = 117,100.53
  5. Step 5: Solve for x
    x = 117,100.53/385.18
  6. Step 6: Final answer
    x = 304.02

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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.