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Finding the Fourth Proportional to 199.23, 275.03 and 124.58

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Solution

The fourth proportional to 199.23, 275.03 and 124.58 is: 171.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.23 : 275.03 = 124.58 : x
  2. Step 2: Convert to fraction form
    199.23/275.03 = 124.58/x
  3. Step 3: Cross multiply
    199.23x = 275.03 × 124.58
  4. Step 4: Simplify right side
    199.23x = 34,261.24
  5. Step 5: Solve for x
    x = 34,261.24/199.23
  6. Step 6: Final answer
    x = 171.97

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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.