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Finding the Fourth Proportional to 237.83, 328.58 and 203.22

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Solution

The fourth proportional to 237.83, 328.58 and 203.22 is: 280.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.83 : 328.58 = 203.22 : x
  2. Step 2: Convert to fraction form
    237.83/328.58 = 203.22/x
  3. Step 3: Cross multiply
    237.83x = 328.58 × 203.22
  4. Step 4: Simplify right side
    237.83x = 66,774.03
  5. Step 5: Solve for x
    x = 66,774.03/237.83
  6. Step 6: Final answer
    x = 280.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.