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Finding the Fourth Proportional to 262.48, 392.52 and 204.04

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Solution

The fourth proportional to 262.48, 392.52 and 204.04 is: 305.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.48 : 392.52 = 204.04 : x
  2. Step 2: Convert to fraction form
    262.48/392.52 = 204.04/x
  3. Step 3: Cross multiply
    262.48x = 392.52 × 204.04
  4. Step 4: Simplify right side
    262.48x = 80,089.78
  5. Step 5: Solve for x
    x = 80,089.78/262.48
  6. Step 6: Final answer
    x = 305.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.