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Finding the Fourth Proportional to 302.96, 453.82 and 148.42

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Solution

The fourth proportional to 302.96, 453.82 and 148.42 is: 222.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.96 : 453.82 = 148.42 : x
  2. Step 2: Convert to fraction form
    302.96/453.82 = 148.42/x
  3. Step 3: Cross multiply
    302.96x = 453.82 × 148.42
  4. Step 4: Simplify right side
    302.96x = 67,355.96
  5. Step 5: Solve for x
    x = 67,355.96/302.96
  6. Step 6: Final answer
    x = 222.33

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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.