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Finding the Fourth Proportional to 385.20, 577.37 and 154.02

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Solution

The fourth proportional to 385.20, 577.37 and 154.02 is: 230.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.20 : 577.37 = 154.02 : x
  2. Step 2: Convert to fraction form
    385.20/577.37 = 154.02/x
  3. Step 3: Cross multiply
    385.20x = 577.37 × 154.02
  4. Step 4: Simplify right side
    385.20x = 88,925.76
  5. Step 5: Solve for x
    x = 88,925.76/385.20
  6. Step 6: Final answer
    x = 230.86

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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.