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Finding the Fourth Proportional to 296.70, 409.29 and 180.24

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Solution

The fourth proportional to 296.70, 409.29 and 180.24 is: 248.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.70 : 409.29 = 180.24 : x
  2. Step 2: Convert to fraction form
    296.70/409.29 = 180.24/x
  3. Step 3: Cross multiply
    296.70x = 409.29 × 180.24
  4. Step 4: Simplify right side
    296.70x = 73,770.43
  5. Step 5: Solve for x
    x = 73,770.43/296.70
  6. Step 6: Final answer
    x = 248.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.