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Finding the Fourth Proportional to 308.82, 463.32 and 164.64

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Solution

The fourth proportional to 308.82, 463.32 and 164.64 is: 247.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.82 : 463.32 = 164.64 : x
  2. Step 2: Convert to fraction form
    308.82/463.32 = 164.64/x
  3. Step 3: Cross multiply
    308.82x = 463.32 × 164.64
  4. Step 4: Simplify right side
    308.82x = 76,281.00
  5. Step 5: Solve for x
    x = 76,281.00/308.82
  6. Step 6: Final answer
    x = 247.01

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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.