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Finding the Fourth Proportional to 354.34, 488.95 and 199.09

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Solution

The fourth proportional to 354.34, 488.95 and 199.09 is: 274.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.34 : 488.95 = 199.09 : x
  2. Step 2: Convert to fraction form
    354.34/488.95 = 199.09/x
  3. Step 3: Cross multiply
    354.34x = 488.95 × 199.09
  4. Step 4: Simplify right side
    354.34x = 97,345.06
  5. Step 5: Solve for x
    x = 97,345.06/354.34
  6. Step 6: Final answer
    x = 274.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.