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Finding the Fourth Proportional to 309.02, 463.62 and 178.99

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Solution

The fourth proportional to 309.02, 463.62 and 178.99 is: 268.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.02 : 463.62 = 178.99 : x
  2. Step 2: Convert to fraction form
    309.02/463.62 = 178.99/x
  3. Step 3: Cross multiply
    309.02x = 463.62 × 178.99
  4. Step 4: Simplify right side
    309.02x = 82,983.95
  5. Step 5: Solve for x
    x = 82,983.95/309.02
  6. Step 6: Final answer
    x = 268.54

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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.