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Finding the Fourth Proportional to 317.64, 476.23 and 122.47

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Solution

The fourth proportional to 317.64, 476.23 and 122.47 is: 183.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.64 : 476.23 = 122.47 : x
  2. Step 2: Convert to fraction form
    317.64/476.23 = 122.47/x
  3. Step 3: Cross multiply
    317.64x = 476.23 × 122.47
  4. Step 4: Simplify right side
    317.64x = 58,323.89
  5. Step 5: Solve for x
    x = 58,323.89/317.64
  6. Step 6: Final answer
    x = 183.62

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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.