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Finding the Fourth Proportional to 345.72, 518.59 and 102.23

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Solution

The fourth proportional to 345.72, 518.59 and 102.23 is: 153.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.72 : 518.59 = 102.23 : x
  2. Step 2: Convert to fraction form
    345.72/518.59 = 102.23/x
  3. Step 3: Cross multiply
    345.72x = 518.59 × 102.23
  4. Step 4: Simplify right side
    345.72x = 53,012.86
  5. Step 5: Solve for x
    x = 53,012.86/345.72
  6. Step 6: Final answer
    x = 153.34

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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.