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Finding the Fourth Proportional to 346.01, 518.85 and 140.54

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Solution

The fourth proportional to 346.01, 518.85 and 140.54 is: 210.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.01 : 518.85 = 140.54 : x
  2. Step 2: Convert to fraction form
    346.01/518.85 = 140.54/x
  3. Step 3: Cross multiply
    346.01x = 518.85 × 140.54
  4. Step 4: Simplify right side
    346.01x = 72,920.48
  5. Step 5: Solve for x
    x = 72,920.48/346.01
  6. Step 6: Final answer
    x = 210.75

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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.