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Finding the Fourth Proportional to 354.75, 489.57 and 199.50

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Solution

The fourth proportional to 354.75, 489.57 and 199.50 is: 275.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.75 : 489.57 = 199.50 : x
  2. Step 2: Convert to fraction form
    354.75/489.57 = 199.50/x
  3. Step 3: Cross multiply
    354.75x = 489.57 × 199.50
  4. Step 4: Simplify right side
    354.75x = 97,669.22
  5. Step 5: Solve for x
    x = 97,669.22/354.75
  6. Step 6: Final answer
    x = 275.32

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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.