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Finding the Fourth Proportional to 262.85, 392.40 and 243.81

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Solution

The fourth proportional to 262.85, 392.40 and 243.81 is: 363.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.85 : 392.40 = 243.81 : x
  2. Step 2: Convert to fraction form
    262.85/392.40 = 243.81/x
  3. Step 3: Cross multiply
    262.85x = 392.40 × 243.81
  4. Step 4: Simplify right side
    262.85x = 95,671.04
  5. Step 5: Solve for x
    x = 95,671.04/262.85
  6. Step 6: Final answer
    x = 363.98

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