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Finding the Fourth Proportional to 262.98, 392.56 and 243.98

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Solution

The fourth proportional to 262.98, 392.56 and 243.98 is: 364.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.98 : 392.56 = 243.98 : x
  2. Step 2: Convert to fraction form
    262.98/392.56 = 243.98/x
  3. Step 3: Cross multiply
    262.98x = 392.56 × 243.98
  4. Step 4: Simplify right side
    262.98x = 95,776.79
  5. Step 5: Solve for x
    x = 95,776.79/262.98
  6. Step 6: Final answer
    x = 364.20

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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.