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Finding the Fourth Proportional to 385.25, 577.89 and 141.77

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Solution

The fourth proportional to 385.25, 577.89 and 141.77 is: 212.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.25 : 577.89 = 141.77 : x
  2. Step 2: Convert to fraction form
    385.25/577.89 = 141.77/x
  3. Step 3: Cross multiply
    385.25x = 577.89 × 141.77
  4. Step 4: Simplify right side
    385.25x = 81,924.58
  5. Step 5: Solve for x
    x = 81,924.58/385.25
  6. Step 6: Final answer
    x = 212.66

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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.