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Finding the Fourth Proportional to 237.52, 354.25 and 203.50

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Solution

The fourth proportional to 237.52, 354.25 and 203.50 is: 303.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.52 : 354.25 = 203.50 : x
  2. Step 2: Convert to fraction form
    237.52/354.25 = 203.50/x
  3. Step 3: Cross multiply
    237.52x = 354.25 × 203.50
  4. Step 4: Simplify right side
    237.52x = 72,089.88
  5. Step 5: Solve for x
    x = 72,089.88/237.52
  6. Step 6: Final answer
    x = 303.51

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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.