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Finding the Fourth Proportional to 174.32, 259.61 and 163.84

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Solution

The fourth proportional to 174.32, 259.61 and 163.84 is: 244.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.32 : 259.61 = 163.84 : x
  2. Step 2: Convert to fraction form
    174.32/259.61 = 163.84/x
  3. Step 3: Cross multiply
    174.32x = 259.61 × 163.84
  4. Step 4: Simplify right side
    174.32x = 42,534.50
  5. Step 5: Solve for x
    x = 42,534.50/174.32
  6. Step 6: Final answer
    x = 244.00

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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.