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Finding the Fourth Proportional to 224.51, 335.18 and 192.02

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Solution

The fourth proportional to 224.51, 335.18 and 192.02 is: 286.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.51 : 335.18 = 192.02 : x
  2. Step 2: Convert to fraction form
    224.51/335.18 = 192.02/x
  3. Step 3: Cross multiply
    224.51x = 335.18 × 192.02
  4. Step 4: Simplify right side
    224.51x = 64,360.07
  5. Step 5: Solve for x
    x = 64,360.07/224.51
  6. Step 6: Final answer
    x = 286.68

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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.