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Finding the Fourth Proportional to 172.56, 257.40 and 147.04

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Solution

The fourth proportional to 172.56, 257.40 and 147.04 is: 219.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.56 : 257.40 = 147.04 : x
  2. Step 2: Convert to fraction form
    172.56/257.40 = 147.04/x
  3. Step 3: Cross multiply
    172.56x = 257.40 × 147.04
  4. Step 4: Simplify right side
    172.56x = 37,848.10
  5. Step 5: Solve for x
    x = 37,848.10/172.56
  6. Step 6: Final answer
    x = 219.33

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