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Finding the Fourth Proportional to 317.40, 476.64 and 180.96

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Solution

The fourth proportional to 317.40, 476.64 and 180.96 is: 271.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.40 : 476.64 = 180.96 : x
  2. Step 2: Convert to fraction form
    317.40/476.64 = 180.96/x
  3. Step 3: Cross multiply
    317.40x = 476.64 × 180.96
  4. Step 4: Simplify right side
    317.40x = 86,252.77
  5. Step 5: Solve for x
    x = 86,252.77/317.40
  6. Step 6: Final answer
    x = 271.75

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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.