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Finding the Fourth Proportional to 296.72, 409.52 and 180.24

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Solution

The fourth proportional to 296.72, 409.52 and 180.24 is: 248.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.72 : 409.52 = 180.24 : x
  2. Step 2: Convert to fraction form
    296.72/409.52 = 180.24/x
  3. Step 3: Cross multiply
    296.72x = 409.52 × 180.24
  4. Step 4: Simplify right side
    296.72x = 73,811.88
  5. Step 5: Solve for x
    x = 73,811.88/296.72
  6. Step 6: Final answer
    x = 248.76

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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.