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Finding the Fourth Proportional to 347.10, 520.63 and 103.65

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Solution

The fourth proportional to 347.10, 520.63 and 103.65 is: 155.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.10 : 520.63 = 103.65 : x
  2. Step 2: Convert to fraction form
    347.10/520.63 = 103.65/x
  3. Step 3: Cross multiply
    347.10x = 520.63 × 103.65
  4. Step 4: Simplify right side
    347.10x = 53,963.30
  5. Step 5: Solve for x
    x = 53,963.30/347.10
  6. Step 6: Final answer
    x = 155.47

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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.