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Finding the Fourth Proportional to 266.10, 367.16 and 172.84

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Solution

The fourth proportional to 266.10, 367.16 and 172.84 is: 238.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.10 : 367.16 = 172.84 : x
  2. Step 2: Convert to fraction form
    266.10/367.16 = 172.84/x
  3. Step 3: Cross multiply
    266.10x = 367.16 × 172.84
  4. Step 4: Simplify right side
    266.10x = 63,458.10
  5. Step 5: Solve for x
    x = 63,458.10/266.10
  6. Step 6: Final answer
    x = 238.47

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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.