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Finding the Fourth Proportional to 255.35, 352.51 and 172.89

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Solution

The fourth proportional to 255.35, 352.51 and 172.89 is: 238.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.35 : 352.51 = 172.89 : x
  2. Step 2: Convert to fraction form
    255.35/352.51 = 172.89/x
  3. Step 3: Cross multiply
    255.35x = 352.51 × 172.89
  4. Step 4: Simplify right side
    255.35x = 60,945.45
  5. Step 5: Solve for x
    x = 60,945.45/255.35
  6. Step 6: Final answer
    x = 238.67

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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.