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Finding the Fourth Proportional to 346.86, 519.78 and 161.64

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Solution

The fourth proportional to 346.86, 519.78 and 161.64 is: 242.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.86 : 519.78 = 161.64 : x
  2. Step 2: Convert to fraction form
    346.86/519.78 = 161.64/x
  3. Step 3: Cross multiply
    346.86x = 519.78 × 161.64
  4. Step 4: Simplify right side
    346.86x = 84,017.24
  5. Step 5: Solve for x
    x = 84,017.24/346.86
  6. Step 6: Final answer
    x = 242.22

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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.