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Finding the Fourth Proportional to 297.46, 410.69 and 192.60

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Solution

The fourth proportional to 297.46, 410.69 and 192.60 is: 265.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.46 : 410.69 = 192.60 : x
  2. Step 2: Convert to fraction form
    297.46/410.69 = 192.60/x
  3. Step 3: Cross multiply
    297.46x = 410.69 × 192.60
  4. Step 4: Simplify right side
    297.46x = 79,098.89
  5. Step 5: Solve for x
    x = 79,098.89/297.46
  6. Step 6: Final answer
    x = 265.91

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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.