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Finding the Fourth Proportional to 297.50, 410.42 and 192.53

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Solution

The fourth proportional to 297.50, 410.42 and 192.53 is: 265.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.50 : 410.42 = 192.53 : x
  2. Step 2: Convert to fraction form
    297.50/410.42 = 192.53/x
  3. Step 3: Cross multiply
    297.50x = 410.42 × 192.53
  4. Step 4: Simplify right side
    297.50x = 79,019.67
  5. Step 5: Solve for x
    x = 79,019.67/297.50
  6. Step 6: Final answer
    x = 265.62

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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.