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Finding the Fourth Proportional to 347.64, 520.92 and 185.28

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Solution

The fourth proportional to 347.64, 520.92 and 185.28 is: 277.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.64 : 520.92 = 185.28 : x
  2. Step 2: Convert to fraction form
    347.64/520.92 = 185.28/x
  3. Step 3: Cross multiply
    347.64x = 520.92 × 185.28
  4. Step 4: Simplify right side
    347.64x = 96,516.06
  5. Step 5: Solve for x
    x = 96,516.06/347.64
  6. Step 6: Final answer
    x = 277.63

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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.