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Finding the Fourth Proportional to 385.32, 577.84 and 141.80

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Solution

The fourth proportional to 385.32, 577.84 and 141.80 is: 212.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.32 : 577.84 = 141.80 : x
  2. Step 2: Convert to fraction form
    385.32/577.84 = 141.80/x
  3. Step 3: Cross multiply
    385.32x = 577.84 × 141.80
  4. Step 4: Simplify right side
    385.32x = 81,937.71
  5. Step 5: Solve for x
    x = 81,937.71/385.32
  6. Step 6: Final answer
    x = 212.65

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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.