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Finding the Fourth Proportional to 172.40, 259.12 and 160.24

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Solution

The fourth proportional to 172.40, 259.12 and 160.24 is: 240.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.40 : 259.12 = 160.24 : x
  2. Step 2: Convert to fraction form
    172.40/259.12 = 160.24/x
  3. Step 3: Cross multiply
    172.40x = 259.12 × 160.24
  4. Step 4: Simplify right side
    172.40x = 41,521.39
  5. Step 5: Solve for x
    x = 41,521.39/172.40
  6. Step 6: Final answer
    x = 240.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.