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Finding the Fourth Proportional to 317.37, 476.08 and 180.53

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Solution

The fourth proportional to 317.37, 476.08 and 180.53 is: 270.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.37 : 476.08 = 180.53 : x
  2. Step 2: Convert to fraction form
    317.37/476.08 = 180.53/x
  3. Step 3: Cross multiply
    317.37x = 476.08 × 180.53
  4. Step 4: Simplify right side
    317.37x = 85,946.72
  5. Step 5: Solve for x
    x = 85,946.72/317.37
  6. Step 6: Final answer
    x = 270.81

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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.