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Finding the Fourth Proportional to 355.37, 532.67 and 172.35

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Solution

The fourth proportional to 355.37, 532.67 and 172.35 is: 258.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.37 : 532.67 = 172.35 : x
  2. Step 2: Convert to fraction form
    355.37/532.67 = 172.35/x
  3. Step 3: Cross multiply
    355.37x = 532.67 × 172.35
  4. Step 4: Simplify right side
    355.37x = 91,804.81
  5. Step 5: Solve for x
    x = 91,804.81/355.37
  6. Step 6: Final answer
    x = 258.34

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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.