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Finding the Fourth Proportional to 224.85, 309.99 and 178.08

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Solution

The fourth proportional to 224.85, 309.99 and 178.08 is: 245.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.85 : 309.99 = 178.08 : x
  2. Step 2: Convert to fraction form
    224.85/309.99 = 178.08/x
  3. Step 3: Cross multiply
    224.85x = 309.99 × 178.08
  4. Step 4: Simplify right side
    224.85x = 55,203.02
  5. Step 5: Solve for x
    x = 55,203.02/224.85
  6. Step 6: Final answer
    x = 245.51

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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.