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Finding the Fourth Proportional to 199.06, 297.32 and 160.63

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Solution

The fourth proportional to 199.06, 297.32 and 160.63 is: 239.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.06 : 297.32 = 160.63 : x
  2. Step 2: Convert to fraction form
    199.06/297.32 = 160.63/x
  3. Step 3: Cross multiply
    199.06x = 297.32 × 160.63
  4. Step 4: Simplify right side
    199.06x = 47,756.97
  5. Step 5: Solve for x
    x = 47,756.97/199.06
  6. Step 6: Final answer
    x = 239.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.