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Finding the Fourth Proportional to 347.92, 520.98 and 185.24

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Solution

The fourth proportional to 347.92, 520.98 and 185.24 is: 277.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.92 : 520.98 = 185.24 : x
  2. Step 2: Convert to fraction form
    347.92/520.98 = 185.24/x
  3. Step 3: Cross multiply
    347.92x = 520.98 × 185.24
  4. Step 4: Simplify right side
    347.92x = 96,506.34
  5. Step 5: Solve for x
    x = 96,506.34/347.92
  6. Step 6: Final answer
    x = 277.38

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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.