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Finding the Fourth Proportional to 385.40, 577.96 and 138.54

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Solution

The fourth proportional to 385.40, 577.96 and 138.54 is: 207.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.40 : 577.96 = 138.54 : x
  2. Step 2: Convert to fraction form
    385.40/577.96 = 138.54/x
  3. Step 3: Cross multiply
    385.40x = 577.96 × 138.54
  4. Step 4: Simplify right side
    385.40x = 80,070.23
  5. Step 5: Solve for x
    x = 80,070.23/385.40
  6. Step 6: Final answer
    x = 207.76

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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.