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Finding the Fourth Proportional to 203.56, 304.84 and 174.52

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Solution

The fourth proportional to 203.56, 304.84 and 174.52 is: 261.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.56 : 304.84 = 174.52 : x
  2. Step 2: Convert to fraction form
    203.56/304.84 = 174.52/x
  3. Step 3: Cross multiply
    203.56x = 304.84 × 174.52
  4. Step 4: Simplify right side
    203.56x = 53,200.68
  5. Step 5: Solve for x
    x = 53,200.68/203.56
  6. Step 6: Final answer
    x = 261.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.