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Finding the Fourth Proportional to 345.59, 518.21 and 102.05

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Solution

The fourth proportional to 345.59, 518.21 and 102.05 is: 153.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.59 : 518.21 = 102.05 : x
  2. Step 2: Convert to fraction form
    345.59/518.21 = 102.05/x
  3. Step 3: Cross multiply
    345.59x = 518.21 × 102.05
  4. Step 4: Simplify right side
    345.59x = 52,880.23
  5. Step 5: Solve for x
    x = 52,880.23/345.59
  6. Step 6: Final answer
    x = 153.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.