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Finding the Fourth Proportional to 345.78, 518.58 and 102.24

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Solution

The fourth proportional to 345.78, 518.58 and 102.24 is: 153.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.78 : 518.58 = 102.24 : x
  2. Step 2: Convert to fraction form
    345.78/518.58 = 102.24/x
  3. Step 3: Cross multiply
    345.78x = 518.58 × 102.24
  4. Step 4: Simplify right side
    345.78x = 53,019.62
  5. Step 5: Solve for x
    x = 53,019.62/345.78
  6. Step 6: Final answer
    x = 153.33

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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.