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Finding the Fourth Proportional to 224.46, 309.96 and 177.84

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Solution

The fourth proportional to 224.46, 309.96 and 177.84 is: 245.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.46 : 309.96 = 177.84 : x
  2. Step 2: Convert to fraction form
    224.46/309.96 = 177.84/x
  3. Step 3: Cross multiply
    224.46x = 309.96 × 177.84
  4. Step 4: Simplify right side
    224.46x = 55,123.29
  5. Step 5: Solve for x
    x = 55,123.29/224.46
  6. Step 6: Final answer
    x = 245.58

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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.