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Finding the Fourth Proportional to 402.63, 603.57 and 146.07

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Solution

The fourth proportional to 402.63, 603.57 and 146.07 is: 218.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.63 : 603.57 = 146.07 : x
  2. Step 2: Convert to fraction form
    402.63/603.57 = 146.07/x
  3. Step 3: Cross multiply
    402.63x = 603.57 × 146.07
  4. Step 4: Simplify right side
    402.63x = 88,163.47
  5. Step 5: Solve for x
    x = 88,163.47/402.63
  6. Step 6: Final answer
    x = 218.97

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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.