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Finding the Fourth Proportional to 224.51, 335.32 and 183.47

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Solution

The fourth proportional to 224.51, 335.32 and 183.47 is: 274.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.51 : 335.32 = 183.47 : x
  2. Step 2: Convert to fraction form
    224.51/335.32 = 183.47/x
  3. Step 3: Cross multiply
    224.51x = 335.32 × 183.47
  4. Step 4: Simplify right side
    224.51x = 61,521.16
  5. Step 5: Solve for x
    x = 61,521.16/224.51
  6. Step 6: Final answer
    x = 274.02

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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.