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Finding the Fourth Proportional to 262.30, 392.73 and 189.25

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Solution

The fourth proportional to 262.30, 392.73 and 189.25 is: 283.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.30 : 392.73 = 189.25 : x
  2. Step 2: Convert to fraction form
    262.30/392.73 = 189.25/x
  3. Step 3: Cross multiply
    262.30x = 392.73 × 189.25
  4. Step 4: Simplify right side
    262.30x = 74,323.17
  5. Step 5: Solve for x
    x = 74,323.17/262.30
  6. Step 6: Final answer
    x = 283.35

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Why These Related Problems?

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