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Finding the Fourth Proportional to 354.13, 488.70 and 198.88

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Solution

The fourth proportional to 354.13, 488.70 and 198.88 is: 274.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.13 : 488.70 = 198.88 : x
  2. Step 2: Convert to fraction form
    354.13/488.70 = 198.88/x
  3. Step 3: Cross multiply
    354.13x = 488.70 × 198.88
  4. Step 4: Simplify right side
    354.13x = 97,192.66
  5. Step 5: Solve for x
    x = 97,192.66/354.13
  6. Step 6: Final answer
    x = 274.45

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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.