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Finding the Fourth Proportional to 303.82, 456.03 and 141.62

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Solution

The fourth proportional to 303.82, 456.03 and 141.62 is: 212.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.82 : 456.03 = 141.62 : x
  2. Step 2: Convert to fraction form
    303.82/456.03 = 141.62/x
  3. Step 3: Cross multiply
    303.82x = 456.03 × 141.62
  4. Step 4: Simplify right side
    303.82x = 64,580.69
  5. Step 5: Solve for x
    x = 64,580.69/303.82
  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.