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Finding the Fourth Proportional to 223.67, 337.04 and 183.98

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Solution

The fourth proportional to 223.67, 337.04 and 183.98 is: 277.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.67 : 337.04 = 183.98 : x
  2. Step 2: Convert to fraction form
    223.67/337.04 = 183.98/x
  3. Step 3: Cross multiply
    223.67x = 337.04 × 183.98
  4. Step 4: Simplify right side
    223.67x = 62,009.23
  5. Step 5: Solve for x
    x = 62,009.23/223.67
  6. Step 6: Final answer
    x = 277.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.