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Finding the Fourth Proportional to 238.52, 355.74 and 204.50

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Solution

The fourth proportional to 238.52, 355.74 and 204.50 is: 305.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.52 : 355.74 = 204.50 : x
  2. Step 2: Convert to fraction form
    238.52/355.74 = 204.50/x
  3. Step 3: Cross multiply
    238.52x = 355.74 × 204.50
  4. Step 4: Simplify right side
    238.52x = 72,748.83
  5. Step 5: Solve for x
    x = 72,748.83/238.52
  6. Step 6: Final answer
    x = 305.00

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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.