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Finding the Fourth Proportional to 385.56, 577.80 and 141.84

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Solution

The fourth proportional to 385.56, 577.80 and 141.84 is: 212.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.56 : 577.80 = 141.84 : x
  2. Step 2: Convert to fraction form
    385.56/577.80 = 141.84/x
  3. Step 3: Cross multiply
    385.56x = 577.80 × 141.84
  4. Step 4: Simplify right side
    385.56x = 81,955.15
  5. Step 5: Solve for x
    x = 81,955.15/385.56
  6. Step 6: Final answer
    x = 212.56

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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.