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Finding the Fourth Proportional to 316.34, 474.56 and 180.26

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Solution

The fourth proportional to 316.34, 474.56 and 180.26 is: 270.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.34 : 474.56 = 180.26 : x
  2. Step 2: Convert to fraction form
    316.34/474.56 = 180.26/x
  3. Step 3: Cross multiply
    316.34x = 474.56 × 180.26
  4. Step 4: Simplify right side
    316.34x = 85,543.37
  5. Step 5: Solve for x
    x = 85,543.37/316.34
  6. Step 6: Final answer
    x = 270.42

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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.