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Finding the Fourth Proportional to 260.40, 359 and 172.92

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Solution

The fourth proportional to 260.40, 359 and 172.92 is: 238.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.40 : 359 = 172.92 : x
  2. Step 2: Convert to fraction form
    260.40/359 = 172.92/x
  3. Step 3: Cross multiply
    260.40x = 359 × 172.92
  4. Step 4: Simplify right side
    260.40x = 62,078.28
  5. Step 5: Solve for x
    x = 62,078.28/260.40
  6. Step 6: Final answer
    x = 238.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.