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Finding the Fourth Proportional to 262.94, 394.32 and 147.42

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Solution

The fourth proportional to 262.94, 394.32 and 147.42 is: 221.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.94 : 394.32 = 147.42 : x
  2. Step 2: Convert to fraction form
    262.94/394.32 = 147.42/x
  3. Step 3: Cross multiply
    262.94x = 394.32 × 147.42
  4. Step 4: Simplify right side
    262.94x = 58,130.65
  5. Step 5: Solve for x
    x = 58,130.65/262.94
  6. Step 6: Final answer
    x = 221.08

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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.