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Finding the Fourth Proportional to 346.66, 520.06 and 115.56

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Solution

The fourth proportional to 346.66, 520.06 and 115.56 is: 173.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.66 : 520.06 = 115.56 : x
  2. Step 2: Convert to fraction form
    346.66/520.06 = 115.56/x
  3. Step 3: Cross multiply
    346.66x = 520.06 × 115.56
  4. Step 4: Simplify right side
    346.66x = 60,098.13
  5. Step 5: Solve for x
    x = 60,098.13/346.66
  6. Step 6: Final answer
    x = 173.36

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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.