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Finding the Fourth Proportional to 317.72, 476.55 and 109.46

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Solution

The fourth proportional to 317.72, 476.55 and 109.46 is: 164.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.72 : 476.55 = 109.46 : x
  2. Step 2: Convert to fraction form
    317.72/476.55 = 109.46/x
  3. Step 3: Cross multiply
    317.72x = 476.55 × 109.46
  4. Step 4: Simplify right side
    317.72x = 52,164.49
  5. Step 5: Solve for x
    x = 52,164.49/317.72
  6. Step 6: Final answer
    x = 164.19

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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.