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Finding the Fourth Proportional to 203.87, 304.17 and 178.16

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Solution

The fourth proportional to 203.87, 304.17 and 178.16 is: 265.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.87 : 304.17 = 178.16 : x
  2. Step 2: Convert to fraction form
    203.87/304.17 = 178.16/x
  3. Step 3: Cross multiply
    203.87x = 304.17 × 178.16
  4. Step 4: Simplify right side
    203.87x = 54,188.74
  5. Step 5: Solve for x
    x = 54,188.74/203.87
  6. Step 6: Final answer
    x = 265.80

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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.