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Finding the Fourth Proportional to 354.78, 489.54 and 199.50

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Solution

The fourth proportional to 354.78, 489.54 and 199.50 is: 275.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.78 : 489.54 = 199.50 : x
  2. Step 2: Convert to fraction form
    354.78/489.54 = 199.50/x
  3. Step 3: Cross multiply
    354.78x = 489.54 × 199.50
  4. Step 4: Simplify right side
    354.78x = 97,663.23
  5. Step 5: Solve for x
    x = 97,663.23/354.78
  6. Step 6: Final answer
    x = 275.28

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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.