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Finding the Fourth Proportional to 266.51, 366.30 and 235.24

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Solution

The fourth proportional to 266.51, 366.30 and 235.24 is: 323.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.51 : 366.30 = 235.24 : x
  2. Step 2: Convert to fraction form
    266.51/366.30 = 235.24/x
  3. Step 3: Cross multiply
    266.51x = 366.30 × 235.24
  4. Step 4: Simplify right side
    266.51x = 86,166.58
  5. Step 5: Solve for x
    x = 86,166.58/266.51
  6. Step 6: Final answer
    x = 323.31

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.