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Finding the Fourth Proportional to 263.18, 392.01 and 259.34

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Solution

The fourth proportional to 263.18, 392.01 and 259.34 is: 386.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.18 : 392.01 = 259.34 : x
  2. Step 2: Convert to fraction form
    263.18/392.01 = 259.34/x
  3. Step 3: Cross multiply
    263.18x = 392.01 × 259.34
  4. Step 4: Simplify right side
    263.18x = 101,660.94
  5. Step 5: Solve for x
    x = 101,660.94/263.18
  6. Step 6: Final answer
    x = 386.28

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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.