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Finding the Fourth Proportional to 203.58, 303.60 and 184.14

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Solution

The fourth proportional to 203.58, 303.60 and 184.14 is: 274.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.58 : 303.60 = 184.14 : x
  2. Step 2: Convert to fraction form
    203.58/303.60 = 184.14/x
  3. Step 3: Cross multiply
    203.58x = 303.60 × 184.14
  4. Step 4: Simplify right side
    203.58x = 55,904.90
  5. Step 5: Solve for x
    x = 55,904.90/203.58
  6. Step 6: Final answer
    x = 274.61

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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.