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Finding the Fourth Proportional to 203.77, 304.22 and 184.64

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Solution

The fourth proportional to 203.77, 304.22 and 184.64 is: 275.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.77 : 304.22 = 184.64 : x
  2. Step 2: Convert to fraction form
    203.77/304.22 = 184.64/x
  3. Step 3: Cross multiply
    203.77x = 304.22 × 184.64
  4. Step 4: Simplify right side
    203.77x = 56,168.74
  5. Step 5: Solve for x
    x = 56,168.74/203.77
  6. Step 6: Final answer
    x = 275.65

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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.