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Finding the Fourth Proportional to 255.51, 384 and 174.90

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Solution

The fourth proportional to 255.51, 384 and 174.90 is: 262.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.51 : 384 = 174.90 : x
  2. Step 2: Convert to fraction form
    255.51/384 = 174.90/x
  3. Step 3: Cross multiply
    255.51x = 384 × 174.90
  4. Step 4: Simplify right side
    255.51x = 67,161.60
  5. Step 5: Solve for x
    x = 67,161.60/255.51
  6. Step 6: Final answer
    x = 262.85

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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.