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Finding the Fourth Proportional to 175.24, 241.91 and 128.98

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Solution

The fourth proportional to 175.24, 241.91 and 128.98 is: 178.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.24 : 241.91 = 128.98 : x
  2. Step 2: Convert to fraction form
    175.24/241.91 = 128.98/x
  3. Step 3: Cross multiply
    175.24x = 241.91 × 128.98
  4. Step 4: Simplify right side
    175.24x = 31,200.91
  5. Step 5: Solve for x
    x = 31,200.91/175.24
  6. Step 6: Final answer
    x = 178.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.