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Finding the Fourth Proportional to 224.19, 309.35 and 136.84

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Solution

The fourth proportional to 224.19, 309.35 and 136.84 is: 188.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.19 : 309.35 = 136.84 : x
  2. Step 2: Convert to fraction form
    224.19/309.35 = 136.84/x
  3. Step 3: Cross multiply
    224.19x = 309.35 × 136.84
  4. Step 4: Simplify right side
    224.19x = 42,331.45
  5. Step 5: Solve for x
    x = 42,331.45/224.19
  6. Step 6: Final answer
    x = 188.82

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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.