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Finding the Fourth Proportional to 346.68, 519.92 and 161.46

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Solution

The fourth proportional to 346.68, 519.92 and 161.46 is: 242.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.68 : 519.92 = 161.46 : x
  2. Step 2: Convert to fraction form
    346.68/519.92 = 161.46/x
  3. Step 3: Cross multiply
    346.68x = 519.92 × 161.46
  4. Step 4: Simplify right side
    346.68x = 83,946.28
  5. Step 5: Solve for x
    x = 83,946.28/346.68
  6. Step 6: Final answer
    x = 242.14

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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.