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Finding the Fourth Proportional to 345.60, 518.54 and 102.20

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Solution

The fourth proportional to 345.60, 518.54 and 102.20 is: 153.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.60 : 518.54 = 102.20 : x
  2. Step 2: Convert to fraction form
    345.60/518.54 = 102.20/x
  3. Step 3: Cross multiply
    345.60x = 518.54 × 102.20
  4. Step 4: Simplify right side
    345.60x = 52,991.68
  5. Step 5: Solve for x
    x = 52,991.68/345.60
  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.