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Finding the Fourth Proportional to 309.02, 463.02 and 178.94

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Solution

The fourth proportional to 309.02, 463.02 and 178.94 is: 268.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.02 : 463.02 = 178.94 : x
  2. Step 2: Convert to fraction form
    309.02/463.02 = 178.94/x
  3. Step 3: Cross multiply
    309.02x = 463.02 × 178.94
  4. Step 4: Simplify right side
    309.02x = 82,852.80
  5. Step 5: Solve for x
    x = 82,852.80/309.02
  6. Step 6: Final answer
    x = 268.11

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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.