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Finding the Fourth Proportional to 255.36, 382.53 and 174

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Solution

The fourth proportional to 255.36, 382.53 and 174 is: 260.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.36 : 382.53 = 174 : x
  2. Step 2: Convert to fraction form
    255.36/382.53 = 174/x
  3. Step 3: Cross multiply
    255.36x = 382.53 × 174
  4. Step 4: Simplify right side
    255.36x = 66,560.22
  5. Step 5: Solve for x
    x = 66,560.22/255.36
  6. Step 6: Final answer
    x = 260.65

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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.