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Finding the Fourth Proportional to 214.45, 295.75 and 172.99

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Solution

The fourth proportional to 214.45, 295.75 and 172.99 is: 238.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.45 : 295.75 = 172.99 : x
  2. Step 2: Convert to fraction form
    214.45/295.75 = 172.99/x
  3. Step 3: Cross multiply
    214.45x = 295.75 × 172.99
  4. Step 4: Simplify right side
    214.45x = 51,161.79
  5. Step 5: Solve for x
    x = 51,161.79/214.45
  6. Step 6: Final answer
    x = 238.57

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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.