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Finding the Fourth Proportional to 224.36, 309.58 and 189.53

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Solution

The fourth proportional to 224.36, 309.58 and 189.53 is: 261.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.36 : 309.58 = 189.53 : x
  2. Step 2: Convert to fraction form
    224.36/309.58 = 189.53/x
  3. Step 3: Cross multiply
    224.36x = 309.58 × 189.53
  4. Step 4: Simplify right side
    224.36x = 58,674.70
  5. Step 5: Solve for x
    x = 58,674.70/224.36
  6. Step 6: Final answer
    x = 261.52

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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.