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Finding the Fourth Proportional to 309, 463.54 and 164.84

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Solution

The fourth proportional to 309, 463.54 and 164.84 is: 247.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    309 : 463.54 = 164.84 : x
  2. Step 2: Convert to fraction form
    309/463.54 = 164.84/x
  3. Step 3: Cross multiply
    309x = 463.54 × 164.84
  4. Step 4: Simplify right side
    309x = 76,409.93
  5. Step 5: Solve for x
    x = 76,409.93/309
  6. Step 6: Final answer
    x = 247.28

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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.