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Finding the Fourth Proportional to 171.48, 256.65 and 147.72

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Solution

The fourth proportional to 171.48, 256.65 and 147.72 is: 221.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.48 : 256.65 = 147.72 : x
  2. Step 2: Convert to fraction form
    171.48/256.65 = 147.72/x
  3. Step 3: Cross multiply
    171.48x = 256.65 × 147.72
  4. Step 4: Simplify right side
    171.48x = 37,912.34
  5. Step 5: Solve for x
    x = 37,912.34/171.48
  6. Step 6: Final answer
    x = 221.09

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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.