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Finding the Fourth Proportional to 260.08, 358.62 and 172.72

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Solution

The fourth proportional to 260.08, 358.62 and 172.72 is: 238.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.08 : 358.62 = 172.72 : x
  2. Step 2: Convert to fraction form
    260.08/358.62 = 172.72/x
  3. Step 3: Cross multiply
    260.08x = 358.62 × 172.72
  4. Step 4: Simplify right side
    260.08x = 61,940.85
  5. Step 5: Solve for x
    x = 61,940.85/260.08
  6. Step 6: Final answer
    x = 238.16

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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.