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Finding the Fourth Proportional to 203.55, 305.78 and 158.24

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Solution

The fourth proportional to 203.55, 305.78 and 158.24 is: 237.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.55 : 305.78 = 158.24 : x
  2. Step 2: Convert to fraction form
    203.55/305.78 = 158.24/x
  3. Step 3: Cross multiply
    203.55x = 305.78 × 158.24
  4. Step 4: Simplify right side
    203.55x = 48,384.31
  5. Step 5: Solve for x
    x = 48,384.31/203.55
  6. Step 6: Final answer
    x = 237.70

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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.