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Finding the Fourth Proportional to 346.46, 519.75 and 102.96

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Solution

The fourth proportional to 346.46, 519.75 and 102.96 is: 154.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.46 : 519.75 = 102.96 : x
  2. Step 2: Convert to fraction form
    346.46/519.75 = 102.96/x
  3. Step 3: Cross multiply
    346.46x = 519.75 × 102.96
  4. Step 4: Simplify right side
    346.46x = 53,513.46
  5. Step 5: Solve for x
    x = 53,513.46/346.46
  6. Step 6: Final answer
    x = 154.46

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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.