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Finding the Fourth Proportional to 262.54, 392.73 and 176.86

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Solution

The fourth proportional to 262.54, 392.73 and 176.86 is: 264.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.54 : 392.73 = 176.86 : x
  2. Step 2: Convert to fraction form
    262.54/392.73 = 176.86/x
  3. Step 3: Cross multiply
    262.54x = 392.73 × 176.86
  4. Step 4: Simplify right side
    262.54x = 69,458.23
  5. Step 5: Solve for x
    x = 69,458.23/262.54
  6. Step 6: Final answer
    x = 264.56

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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.