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Finding the Fourth Proportional to 402.68, 603.65 and 146.12

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Solution

The fourth proportional to 402.68, 603.65 and 146.12 is: 219.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.68 : 603.65 = 146.12 : x
  2. Step 2: Convert to fraction form
    402.68/603.65 = 146.12/x
  3. Step 3: Cross multiply
    402.68x = 603.65 × 146.12
  4. Step 4: Simplify right side
    402.68x = 88,205.34
  5. Step 5: Solve for x
    x = 88,205.34/402.68
  6. Step 6: Final answer
    x = 219.05

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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.