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Finding the Fourth Proportional to 173.12, 258.21 and 157.77

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Solution

The fourth proportional to 173.12, 258.21 and 157.77 is: 235.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.12 : 258.21 = 157.77 : x
  2. Step 2: Convert to fraction form
    173.12/258.21 = 157.77/x
  3. Step 3: Cross multiply
    173.12x = 258.21 × 157.77
  4. Step 4: Simplify right side
    173.12x = 40,737.79
  5. Step 5: Solve for x
    x = 40,737.79/173.12
  6. Step 6: Final answer
    x = 235.32

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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.