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Finding the Fourth Proportional to 346.14, 518.63 and 191.68

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Solution

The fourth proportional to 346.14, 518.63 and 191.68 is: 287.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.14 : 518.63 = 191.68 : x
  2. Step 2: Convert to fraction form
    346.14/518.63 = 191.68/x
  3. Step 3: Cross multiply
    346.14x = 518.63 × 191.68
  4. Step 4: Simplify right side
    346.14x = 99,411.00
  5. Step 5: Solve for x
    x = 99,411.00/346.14
  6. Step 6: Final answer
    x = 287.20

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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.