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Finding the Fourth Proportional to 385.16, 577.62 and 141.64

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Solution

The fourth proportional to 385.16, 577.62 and 141.64 is: 212.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.16 : 577.62 = 141.64 : x
  2. Step 2: Convert to fraction form
    385.16/577.62 = 141.64/x
  3. Step 3: Cross multiply
    385.16x = 577.62 × 141.64
  4. Step 4: Simplify right side
    385.16x = 81,814.10
  5. Step 5: Solve for x
    x = 81,814.10/385.16
  6. Step 6: Final answer
    x = 212.42

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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.