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Finding the Fourth Proportional to 263.66, 393.53 and 232.88

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Solution

The fourth proportional to 263.66, 393.53 and 232.88 is: 347.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.66 : 393.53 = 232.88 : x
  2. Step 2: Convert to fraction form
    263.66/393.53 = 232.88/x
  3. Step 3: Cross multiply
    263.66x = 393.53 × 232.88
  4. Step 4: Simplify right side
    263.66x = 91,642.13
  5. Step 5: Solve for x
    x = 91,642.13/263.66
  6. Step 6: Final answer
    x = 347.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.