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Finding the Fourth Proportional to 385.08, 577.76 and 165.76

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Solution

The fourth proportional to 385.08, 577.76 and 165.76 is: 248.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.08 : 577.76 = 165.76 : x
  2. Step 2: Convert to fraction form
    385.08/577.76 = 165.76/x
  3. Step 3: Cross multiply
    385.08x = 577.76 × 165.76
  4. Step 4: Simplify right side
    385.08x = 95,769.50
  5. Step 5: Solve for x
    x = 95,769.50/385.08
  6. Step 6: Final answer
    x = 248.70

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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.