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Finding the Fourth Proportional to 309.12, 463.92 and 164.88

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Solution

The fourth proportional to 309.12, 463.92 and 164.88 is: 247.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.12 : 463.92 = 164.88 : x
  2. Step 2: Convert to fraction form
    309.12/463.92 = 164.88/x
  3. Step 3: Cross multiply
    309.12x = 463.92 × 164.88
  4. Step 4: Simplify right side
    309.12x = 76,491.13
  5. Step 5: Solve for x
    x = 76,491.13/309.12
  6. Step 6: Final answer
    x = 247.45

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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.