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Finding the Fourth Proportional to 342.01, 512.87 and 147.01

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Solution

The fourth proportional to 342.01, 512.87 and 147.01 is: 220.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.01 : 512.87 = 147.01 : x
  2. Step 2: Convert to fraction form
    342.01/512.87 = 147.01/x
  3. Step 3: Cross multiply
    342.01x = 512.87 × 147.01
  4. Step 4: Simplify right side
    342.01x = 75,394.52
  5. Step 5: Solve for x
    x = 75,394.52/342.01
  6. Step 6: Final answer
    x = 220.44

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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.