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Finding the Fourth Proportional to 175.89, 263.93 and 84.64

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Solution

The fourth proportional to 175.89, 263.93 and 84.64 is: 127.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.89 : 263.93 = 84.64 : x
  2. Step 2: Convert to fraction form
    175.89/263.93 = 84.64/x
  3. Step 3: Cross multiply
    175.89x = 263.93 × 84.64
  4. Step 4: Simplify right side
    175.89x = 22,339.04
  5. Step 5: Solve for x
    x = 22,339.04/175.89
  6. Step 6: Final answer
    x = 127.01

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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.