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Finding the Fourth Proportional to 309.92, 465.08 and 147.62

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Solution

The fourth proportional to 309.92, 465.08 and 147.62 is: 221.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.92 : 465.08 = 147.62 : x
  2. Step 2: Convert to fraction form
    309.92/465.08 = 147.62/x
  3. Step 3: Cross multiply
    309.92x = 465.08 × 147.62
  4. Step 4: Simplify right side
    309.92x = 68,655.11
  5. Step 5: Solve for x
    x = 68,655.11/309.92
  6. Step 6: Final answer
    x = 221.53

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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.