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Finding the Fourth Proportional to 354.68, 489.36 and 199.42

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Solution

The fourth proportional to 354.68, 489.36 and 199.42 is: 275.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.68 : 489.36 = 199.42 : x
  2. Step 2: Convert to fraction form
    354.68/489.36 = 199.42/x
  3. Step 3: Cross multiply
    354.68x = 489.36 × 199.42
  4. Step 4: Simplify right side
    354.68x = 97,588.17
  5. Step 5: Solve for x
    x = 97,588.17/354.68
  6. Step 6: Final answer
    x = 275.14

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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.