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Finding the Fourth Proportional to 346.65, 519.71 and 163.86

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Solution

The fourth proportional to 346.65, 519.71 and 163.86 is: 245.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.65 : 519.71 = 163.86 : x
  2. Step 2: Convert to fraction form
    346.65/519.71 = 163.86/x
  3. Step 3: Cross multiply
    346.65x = 519.71 × 163.86
  4. Step 4: Simplify right side
    346.65x = 85,158.86
  5. Step 5: Solve for x
    x = 85,158.86/346.65
  6. Step 6: Final answer
    x = 245.66

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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.