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Finding the Fourth Proportional to 259.42, 357.72 and 184.81

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Solution

The fourth proportional to 259.42, 357.72 and 184.81 is: 254.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.42 : 357.72 = 184.81 : x
  2. Step 2: Convert to fraction form
    259.42/357.72 = 184.81/x
  3. Step 3: Cross multiply
    259.42x = 357.72 × 184.81
  4. Step 4: Simplify right side
    259.42x = 66,110.23
  5. Step 5: Solve for x
    x = 66,110.23/259.42
  6. Step 6: Final answer
    x = 254.84

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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.