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Finding the Fourth Proportional to 317.31, 474.74 and 180.42

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Solution

The fourth proportional to 317.31, 474.74 and 180.42 is: 269.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.31 : 474.74 = 180.42 : x
  2. Step 2: Convert to fraction form
    317.31/474.74 = 180.42/x
  3. Step 3: Cross multiply
    317.31x = 474.74 × 180.42
  4. Step 4: Simplify right side
    317.31x = 85,652.59
  5. Step 5: Solve for x
    x = 85,652.59/317.31
  6. Step 6: Final answer
    x = 269.93

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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.