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Finding the Fourth Proportional to 309.44, 463.54 and 147.23

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Solution

The fourth proportional to 309.44, 463.54 and 147.23 is: 220.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.44 : 463.54 = 147.23 : x
  2. Step 2: Convert to fraction form
    309.44/463.54 = 147.23/x
  3. Step 3: Cross multiply
    309.44x = 463.54 × 147.23
  4. Step 4: Simplify right side
    309.44x = 68,248.52
  5. Step 5: Solve for x
    x = 68,248.52/309.44
  6. Step 6: Final answer
    x = 220.56

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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.