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Finding the Fourth Proportional to 171.99, 257.58 and 147.96

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Solution

The fourth proportional to 171.99, 257.58 and 147.96 is: 221.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.99 : 257.58 = 147.96 : x
  2. Step 2: Convert to fraction form
    171.99/257.58 = 147.96/x
  3. Step 3: Cross multiply
    171.99x = 257.58 × 147.96
  4. Step 4: Simplify right side
    171.99x = 38,111.54
  5. Step 5: Solve for x
    x = 38,111.54/171.99
  6. Step 6: Final answer
    x = 221.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.