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Finding the Fourth Proportional to 309.50, 463.62 and 179.12

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Solution

The fourth proportional to 309.50, 463.62 and 179.12 is: 268.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.50 : 463.62 = 179.12 : x
  2. Step 2: Convert to fraction form
    309.50/463.62 = 179.12/x
  3. Step 3: Cross multiply
    309.50x = 463.62 × 179.12
  4. Step 4: Simplify right side
    309.50x = 83,043.61
  5. Step 5: Solve for x
    x = 83,043.61/309.50
  6. Step 6: Final answer
    x = 268.32

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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.