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Finding the Fourth Proportional to 172.19, 258.04 and 135.72

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Solution

The fourth proportional to 172.19, 258.04 and 135.72 is: 203.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.19 : 258.04 = 135.72 : x
  2. Step 2: Convert to fraction form
    172.19/258.04 = 135.72/x
  3. Step 3: Cross multiply
    172.19x = 258.04 × 135.72
  4. Step 4: Simplify right side
    172.19x = 35,019.87
  5. Step 5: Solve for x
    x = 35,019.87/172.19
  6. Step 6: Final answer
    x = 203.38

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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.