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Finding the Fourth Proportional to 297.16, 410.32 and 192.30

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Solution

The fourth proportional to 297.16, 410.32 and 192.30 is: 265.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.16 : 410.32 = 192.30 : x
  2. Step 2: Convert to fraction form
    297.16/410.32 = 192.30/x
  3. Step 3: Cross multiply
    297.16x = 410.32 × 192.30
  4. Step 4: Simplify right side
    297.16x = 78,904.54
  5. Step 5: Solve for x
    x = 78,904.54/297.16
  6. Step 6: Final answer
    x = 265.53

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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.