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Finding the Fourth Proportional to 421.28, 631.84 and 164.80

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Solution

The fourth proportional to 421.28, 631.84 and 164.80 is: 247.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.28 : 631.84 = 164.80 : x
  2. Step 2: Convert to fraction form
    421.28/631.84 = 164.80/x
  3. Step 3: Cross multiply
    421.28x = 631.84 × 164.80
  4. Step 4: Simplify right side
    421.28x = 104,127.23
  5. Step 5: Solve for x
    x = 104,127.23/421.28
  6. Step 6: Final answer
    x = 247.17

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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.