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Finding the Fourth Proportional to 328.71, 493.00 and 164.00

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Solution

The fourth proportional to 328.71, 493.00 and 164.00 is: 245.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.71 : 493.00 = 164.00 : x
  2. Step 2: Convert to fraction form
    328.71/493.00 = 164.00/x
  3. Step 3: Cross multiply
    328.71x = 493.00 × 164.00
  4. Step 4: Simplify right side
    328.71x = 80,852.82
  5. Step 5: Solve for x
    x = 80,852.82/328.71
  6. Step 6: Final answer
    x = 245.97

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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.