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Finding the Fourth Proportional to 175.88, 263.91 and 90.38

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Solution

The fourth proportional to 175.88, 263.91 and 90.38 is: 135.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.88 : 263.91 = 90.38 : x
  2. Step 2: Convert to fraction form
    175.88/263.91 = 90.38/x
  3. Step 3: Cross multiply
    175.88x = 263.91 × 90.38
  4. Step 4: Simplify right side
    175.88x = 23,852.19
  5. Step 5: Solve for x
    x = 23,852.19/175.88
  6. Step 6: Final answer
    x = 135.62

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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.