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Finding the Fourth Proportional to 223.77, 337.18 and 184.08

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Solution

The fourth proportional to 223.77, 337.18 and 184.08 is: 277.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.77 : 337.18 = 184.08 : x
  2. Step 2: Convert to fraction form
    223.77/337.18 = 184.08/x
  3. Step 3: Cross multiply
    223.77x = 337.18 × 184.08
  4. Step 4: Simplify right side
    223.77x = 62,067.17
  5. Step 5: Solve for x
    x = 62,067.17/223.77
  6. Step 6: Final answer
    x = 277.37

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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.