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Finding the Fourth Proportional to 266.90, 368.37 and 168.69

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Solution

The fourth proportional to 266.90, 368.37 and 168.69 is: 232.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.90 : 368.37 = 168.69 : x
  2. Step 2: Convert to fraction form
    266.90/368.37 = 168.69/x
  3. Step 3: Cross multiply
    266.90x = 368.37 × 168.69
  4. Step 4: Simplify right side
    266.90x = 62,140.34
  5. Step 5: Solve for x
    x = 62,140.34/266.90
  6. Step 6: Final answer
    x = 232.82

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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.