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Finding the Fourth Proportional to 310.43, 465.68 and 146.07

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Solution

The fourth proportional to 310.43, 465.68 and 146.07 is: 219.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.43 : 465.68 = 146.07 : x
  2. Step 2: Convert to fraction form
    310.43/465.68 = 146.07/x
  3. Step 3: Cross multiply
    310.43x = 465.68 × 146.07
  4. Step 4: Simplify right side
    310.43x = 68,019.55
  5. Step 5: Solve for x
    x = 68,019.55/310.43
  6. Step 6: Final answer
    x = 219.12

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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.