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Finding the Fourth Proportional to 223.92, 334.63 and 180.10

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Solution

The fourth proportional to 223.92, 334.63 and 180.10 is: 269.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.92 : 334.63 = 180.10 : x
  2. Step 2: Convert to fraction form
    223.92/334.63 = 180.10/x
  3. Step 3: Cross multiply
    223.92x = 334.63 × 180.10
  4. Step 4: Simplify right side
    223.92x = 60,266.86
  5. Step 5: Solve for x
    x = 60,266.86/223.92
  6. Step 6: Final answer
    x = 269.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.