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Finding the Fourth Proportional to 345.77, 518.67 and 114.68

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Solution

The fourth proportional to 345.77, 518.67 and 114.68 is: 172.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.77 : 518.67 = 114.68 : x
  2. Step 2: Convert to fraction form
    345.77/518.67 = 114.68/x
  3. Step 3: Cross multiply
    345.77x = 518.67 × 114.68
  4. Step 4: Simplify right side
    345.77x = 59,479.70
  5. Step 5: Solve for x
    x = 59,479.70/345.77
  6. Step 6: Final answer
    x = 172.02

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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.