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Finding the Fourth Proportional to 334.88, 502.01 and 197.89

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Solution

The fourth proportional to 334.88, 502.01 and 197.89 is: 296.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.88 : 502.01 = 197.89 : x
  2. Step 2: Convert to fraction form
    334.88/502.01 = 197.89/x
  3. Step 3: Cross multiply
    334.88x = 502.01 × 197.89
  4. Step 4: Simplify right side
    334.88x = 99,340.51
  5. Step 5: Solve for x
    x = 99,340.51/334.88
  6. Step 6: Final answer
    x = 296.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.