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Finding the Fourth Proportional to 314.88, 472.40 and 109.46

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Solution

The fourth proportional to 314.88, 472.40 and 109.46 is: 164.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.88 : 472.40 = 109.46 : x
  2. Step 2: Convert to fraction form
    314.88/472.40 = 109.46/x
  3. Step 3: Cross multiply
    314.88x = 472.40 × 109.46
  4. Step 4: Simplify right side
    314.88x = 51,708.62
  5. Step 5: Solve for x
    x = 51,708.62/314.88
  6. Step 6: Final answer
    x = 164.22

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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.