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Finding the Fourth Proportional to 266.76, 368.16 and 163.28

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Solution

The fourth proportional to 266.76, 368.16 and 163.28 is: 225.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.76 : 368.16 = 163.28 : x
  2. Step 2: Convert to fraction form
    266.76/368.16 = 163.28/x
  3. Step 3: Cross multiply
    266.76x = 368.16 × 163.28
  4. Step 4: Simplify right side
    266.76x = 60,113.16
  5. Step 5: Solve for x
    x = 60,113.16/266.76
  6. Step 6: Final answer
    x = 225.35

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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.