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Finding the Fourth Proportional to 314.65, 471.97 and 109.36

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Solution

The fourth proportional to 314.65, 471.97 and 109.36 is: 164.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.65 : 471.97 = 109.36 : x
  2. Step 2: Convert to fraction form
    314.65/471.97 = 109.36/x
  3. Step 3: Cross multiply
    314.65x = 471.97 × 109.36
  4. Step 4: Simplify right side
    314.65x = 51,614.46
  5. Step 5: Solve for x
    x = 51,614.46/314.65
  6. Step 6: Final answer
    x = 164.04

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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.