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Finding the Fourth Proportional to 203.68, 305.10 and 141.84

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Solution

The fourth proportional to 203.68, 305.10 and 141.84 is: 212.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.68 : 305.10 = 141.84 : x
  2. Step 2: Convert to fraction form
    203.68/305.10 = 141.84/x
  3. Step 3: Cross multiply
    203.68x = 305.10 × 141.84
  4. Step 4: Simplify right side
    203.68x = 43,275.38
  5. Step 5: Solve for x
    x = 43,275.38/203.68
  6. Step 6: Final answer
    x = 212.47

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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.