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Finding the Fourth Proportional to 224.76, 309.84 and 180.96

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Solution

The fourth proportional to 224.76, 309.84 and 180.96 is: 249.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.76 : 309.84 = 180.96 : x
  2. Step 2: Convert to fraction form
    224.76/309.84 = 180.96/x
  3. Step 3: Cross multiply
    224.76x = 309.84 × 180.96
  4. Step 4: Simplify right side
    224.76x = 56,068.65
  5. Step 5: Solve for x
    x = 56,068.65/224.76
  6. Step 6: Final answer
    x = 249.46

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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.