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Finding the Fourth Proportional to 317.93, 476.78 and 109.64

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Solution

The fourth proportional to 317.93, 476.78 and 109.64 is: 164.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.93 : 476.78 = 109.64 : x
  2. Step 2: Convert to fraction form
    317.93/476.78 = 109.64/x
  3. Step 3: Cross multiply
    317.93x = 476.78 × 109.64
  4. Step 4: Simplify right side
    317.93x = 52,271.23
  5. Step 5: Solve for x
    x = 52,271.23/317.93
  6. Step 6: Final answer
    x = 164.41

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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.