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Finding the Fourth Proportional to 224.13, 334.63 and 191.65

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Solution

The fourth proportional to 224.13, 334.63 and 191.65 is: 286.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.13 : 334.63 = 191.65 : x
  2. Step 2: Convert to fraction form
    224.13/334.63 = 191.65/x
  3. Step 3: Cross multiply
    224.13x = 334.63 × 191.65
  4. Step 4: Simplify right side
    224.13x = 64,130.52
  5. Step 5: Solve for x
    x = 64,130.52/224.13
  6. Step 6: Final answer
    x = 286.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.