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Finding the Fourth Proportional to 309.12, 463.68 and 165.12

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Solution

The fourth proportional to 309.12, 463.68 and 165.12 is: 247.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.12 : 463.68 = 165.12 : x
  2. Step 2: Convert to fraction form
    309.12/463.68 = 165.12/x
  3. Step 3: Cross multiply
    309.12x = 463.68 × 165.12
  4. Step 4: Simplify right side
    309.12x = 76,562.84
  5. Step 5: Solve for x
    x = 76,562.84/309.12
  6. Step 6: Final answer
    x = 247.68

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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.