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Finding the Fourth Proportional to 173.80, 259.12 and 171.88

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Solution

The fourth proportional to 173.80, 259.12 and 171.88 is: 256.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.80 : 259.12 = 171.88 : x
  2. Step 2: Convert to fraction form
    173.80/259.12 = 171.88/x
  3. Step 3: Cross multiply
    173.80x = 259.12 × 171.88
  4. Step 4: Simplify right side
    173.80x = 44,537.55
  5. Step 5: Solve for x
    x = 44,537.55/173.80
  6. Step 6: Final answer
    x = 256.26

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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.