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Finding the Fourth Proportional to 357.80, 537.07 and 204.02

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Solution

The fourth proportional to 357.80, 537.07 and 204.02 is: 306.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.80 : 537.07 = 204.02 : x
  2. Step 2: Convert to fraction form
    357.80/537.07 = 204.02/x
  3. Step 3: Cross multiply
    357.80x = 537.07 × 204.02
  4. Step 4: Simplify right side
    357.80x = 109,573.85
  5. Step 5: Solve for x
    x = 109,573.85/357.80
  6. Step 6: Final answer
    x = 306.25

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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.