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Finding the Fourth Proportional to 402.19, 603.35 and 142.34

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Solution

The fourth proportional to 402.19, 603.35 and 142.34 is: 213.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.19 : 603.35 = 142.34 : x
  2. Step 2: Convert to fraction form
    402.19/603.35 = 142.34/x
  3. Step 3: Cross multiply
    402.19x = 603.35 × 142.34
  4. Step 4: Simplify right side
    402.19x = 85,879.51
  5. Step 5: Solve for x
    x = 85,879.51/402.19
  6. Step 6: Final answer
    x = 213.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.