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Finding the Fourth Proportional to 312.84, 469.04 and 182.92

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Solution

The fourth proportional to 312.84, 469.04 and 182.92 is: 274.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.84 : 469.04 = 182.92 : x
  2. Step 2: Convert to fraction form
    312.84/469.04 = 182.92/x
  3. Step 3: Cross multiply
    312.84x = 469.04 × 182.92
  4. Step 4: Simplify right side
    312.84x = 85,796.80
  5. Step 5: Solve for x
    x = 85,796.80/312.84
  6. Step 6: Final answer
    x = 274.25

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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.